Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.2 - Prime and Composite Numbers - Concept Quiz 1.2: 9

Answer

True

Work Step by Step

The prime factored form of 8 is: $8=2\times2\times2$ The prime factored form of 9 is: $9=3\times3$ The prime factored form of 18 is: $18=2\times3\times3$ Since the least common multiple (LCM) contains each different prime factor as many times as the most times it appears in any one of the factorizations, we obtain: LCM$=2\times2\times2\times3\times3=72$ Therefore, the question statement is true.
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