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 - Problem Set 1.2: 79

Answer

$140$

Work Step by Step

Factor each number completely to obtain: $28= 2\cdot 2\cdot 7 \\35 = 5 \cdot 7$ The different factors that appear in the prime factorization of the given numbers are 2, 5, and 7. The maximum number of times that each unique factor appears in the factorization is: For 2: two times For 5: once For 7: once The least common multiple will have two 2s, one 5, and one 7. Thus, the least common multiple of the given numbers is: $=2 \cdot 2\cdot 5 \cdot 7 \\= 140$
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