A Number L Is Called A Common Multiple Of M And N If Both M And N Divide L. The Smallest Such L Is Called The Least Common…

A number L is called a common multiple of m and n if both m and n divide L. The smallest such L is called the least common multiple of m and n and is denoted by LCM(m,n). For example, LCM(3,7)=21 and LCM(12,66)=132.

a.) find the following least common multiples.

  1. i) LCM(8,12) ii) LCM(20,30) iii) LCM(51,68) iv) LCM(23,18)

b.) For each of the LCMs that you computed in (a), compare the value of LCM(m,n) to the values of m, n, and gcd(m,n). Try to find a relationship.

c.) give an argument proving that the relationship you found is correct for all m and n.

d.) Use your result in (b) to compute LCM(301337,307829).

e.) Suppose that gcd(m,n)=18 and LCM(m,n)=720. Find m and n. Is there more than one possibility? If so, find all of them

Expert's Answer

Hire Expert Tutors

Get Professional Tutoring at Low Price in Australia

Academic Excellence
Professional
Tutoring Services
👥

25k+

Sessions Done

⭐

4.9/5

Student Rating

👨‍🏫

600+

Expert Tutors

Why Learn With Us?

🧠

Concept Clarity

🎯

Personalized Plan

💸

Affordable Rates

📅

Flexible Schedule

📈

Results Driven

💬

24/7 Support

You may also like

  1. The Price Of A Share Of Stock Divided By The Company’s Estimated Future Earnings Per Share Is Called The P/E Ratio. High P/E…
  2. 5) A common practice with such IT projects, particularly the implementation of an ERP system and its associated….
  3. Convert: 5/16 To Decimal Fraction 62 2/3 43 3/5 126 15/16 Convert Decimal Fraction To Common Fraction 23.8 0.1875 51.09375 15…
  4. g) Present the multiple regression model with complete regression summary output in your Tutoring.
  5. l) Compare the multiple regression model (question 3) and simple linear regression model (question 4)….
  6. Week 7 Question 1 Assume the online test in HA1011 has 15 multiple questions. Each question has five possible….

Here Are Our 2025 Student Success Outcomes

We have helped students from top universities including the University of Sydney, Melbourne, UNSW, ANU, Queensland, Monash, Flinders, and more in Australia, New Zealand, and the UK.

87%

87% of our students improved their grades after just a few tutoring sessions.

4x

Our students are 4x more likely to achieve top marks with personalized tutoring support.

3500+

3500+ students have successfully improved their academic performance across various subjects with our expert tutors.

2x

Students who work with us are twice as likely to achieve their academic goals.

The Most Personalised Tutoring in Australia, Designed for you

Here’s how we help you maximize your potential and achieve success in your studies at university in Australia.

01. Defining Goals

We help clarify your academic goals, aligning them with your aspirations to create a clear path forward.

02. Assessing Strengths

Identify strengths and weaknesses, allowing us to tailor your tutoring sessions for maximum impact.

03. Personalized Plan

Receive a custom study plan that addresses your unique needs and optimizes your learning outcomes.

04. Meet Your Tutor

Work with a tutor specializing in your subject to receive personalized guidance tailored to your learning style.

05. Focusing Your Studies

We adapt tutoring to align with your goals, ensuring you stay focused on achieving your desired results.

06. Achieving Success

Ongoing support and expert feedback ensure steady progress toward your academic goals and success.

Students who we've helped

At Tutoring Lounge, we take pride in providing top-quality tutoring services that have helped hundreds of students excel and achieve their academic goals in Australia

Tutoring Lounge transformed my engineering studies in Australia. Their personalized lessons and expert tutors made complex concepts easy to understand. They provided tailored practice problems and constant support, ensuring I was fully prepared for exams. My grades have significantly improved, and I’ve gained confidence in my skills. I highly recommend Tutoring Lounge to any student struggling with their coursework. Their services are worth every penny!

⭐⭐⭐⭐⭐

Ravi Kumar
University of Tasmania

Tutoring Lounge saved me from failing my psychology course. Their expert tutors provided in-depth guidance on statistical analysis and research methods, turning my weaknesses into strengths. They created a customized learning plan and offered valuable feedback on assignments. Thanks to their help, I not only improved my grades but also started enjoying my studies again. I’m incredibly grateful for their dedication and highly recommend their services!

⭐⭐⭐⭐⭐

Emily Turner
University of Sydney

As an international MBA student, balancing academic pressure was tough. Tutoring Lounge provided exceptional support, guiding me through demanding assignments with clear, tailored explanations. My tutor went above and beyond to refine my skills, boosting my confidence significantly. Their structured approach helped me excel in subjects I once struggled with. I’m so thankful for their assistance—Tutoring Lounge has been a critical part of my success!

⭐⭐⭐⭐⭐

Ananya Patel
Monash University

Economics was a nightmare until I found Tutoring Lounge. Their tutors simplified complex theories, helping me grasp the fundamentals effortlessly. Their step-by-step approach to assignments and exam prep boosted my understanding and confidence. My grades skyrocketed from average to distinction-level in just one semester. Tutoring Lounge offers unmatched quality and dedication, making them the perfect choice for any student aiming to excel academically. Highly recommend!

⭐⭐⭐⭐⭐

Liam Carter
ANU

Being an international IT student, adapting to Australia’s academic system was tough. Tutoring Lounge’s expert tutors made the transition seamless. They broke down programming concepts into manageable lessons, boosting my understanding and confidence. Their patient guidance and practical strategies made all the difference in my studies. With their help, I’ve not only improved my grades but also developed better time management skills. Tutoring Lounge truly exceeded my expectations!

⭐⭐⭐⭐⭐

Karan Gupta
RMIT University

As an international medical student, I often felt overwhelmed by coursework. Tutoring Lounge changed everything. Their tutors provided detailed guidance on anatomy and physiology, simplifying complex topics. They also taught me effective time management, improving my productivity. Thanks to their support, I performed better academically and felt less stressed. Tutoring Lounge’s exceptional services have been a game-changer for my education!

⭐⭐⭐⭐⭐

Priya Nair
Deakin University

Our focus has always been on rigorous quality control and excellent customer service. We hire only the industry’s best editors and put each document through a rigorous three-step quality checking process. With our 24/7 customer service via chat, phone, and email, customers can instantly follow up on their orders and address queries to their editors.

Best Price
Original
100% Satisfaction
Payment

COMPANY INFO

+61424295050

contact@tutoringlounge.com.au

Follow us on Social Media:

Management

Business

Finance and Accounting

Mathematics

Health & Nutrition

👨🏻‍💻 Computer Science

TOP