Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter R - Section R.1 - Factors and the Least Common Multiple - Exercise Set: 64

Answer

9000

Work Step by Step

1. Write the prime factorization of 1000: 2 * 500 = 2 * 2 * 250 = 2 * 2 * 2 * 125 = 2 * 2 * 2 * 5 * 25 = 2 * 2 * 2 * 5 * 5 * 5 2. Write the prime factorization of 1125: 3 * 375 = 3 * 3 * 125 = 3 * 3 * 5 * 25 = 3 * 3 * 5 * 5 * 5 3. The LCM is the combination of all non-overlapping prime factors: 2 * 2 * 2 * 3 * 3 * 5 * 5 * 5 = 9000
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