Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1 - Page 256: 61

Answer

The least common multiple of the two numbers is $540$.

Work Step by Step

Factor each number to obtain: $60=10(6)=5(2)(3)(2)=5(3)(2)(2) \\108=9(12)=3(3)(3)(2)(2)=3(3)(3)(2)(2)$ Thus, the least common multiple of the two numbers is $5(3)(3)(3)(2)(2)=540$.
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