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: 60

Answer

The least common multiple of the two numbers is $990$.

Work Step by Step

Factor each number to obtain: $66=11(6)=11(3)(2) \\90=6(15)=2(3)(5)(3)=5(3)(3)(2)$ Thus, the least common multiple of the two numbers is $11(5)(3)(3)(2)=990$.
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