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: 62

Answer

The least common multiple of the two numbers is $5088$.

Work Step by Step

Factor each number to obtain: $96=16(6)=2(2)(2)(2)(3)(2)=3(2)(2)(2)(2)(2) \\212=2(106)=2(2)(53)$ Thus, the least common multiple of the two numbers is $53(3)(2)(2)(2)(2)(2)=5088$.
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