Thinking Mathematically (6th Edition)

by Blitzer, Robert F.

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: 57

Answer

The least common multiple of the two numbers is $168$.

Work Step by Step

Factor each number to obtain: $42=7(6)=7(3)(2) \\56=7(8)=7(2)(2)(2)$ Thus, the least common multiple of the two numbers is $7(3)(2)(2)(2)=168$.

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