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: 115

Answer

LCM = $2^{17}\cdot 3^{37} \cdot 5^{31}$ GCD = $2^{14} \cdot 3^{25} \cdot 5^{30}$

Work Step by Step

RECALL: (1) To find the least common multiple (LCM), select the common prime factors with the greatest exponent. (2) To find the greatest common divisor, (GCD), select the common prime factors with the lowest exponent. Using the rules above gives: LCM = $2^{17}\cdot 3^{37} \cdot 5^{31}$ GCD = $2^{14} \cdot 3^{25} \cdot 5^{30}$
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