Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.8 - Page 226: 25

Answer

(a) $36$ (b) $360$ (c) $98000$

Work Step by Step

(a) Factor each number: $12=2\cdot2\cdot3$ and $18=2\cdot3\cdot3$ Thus $lcm(12,18)=2\cdot2\cdot3\cdot3=36$ (b) Each number have been factorized: Thus $lcm=2^3\cdot3^2\cdot5=360$ (c) Factor each number: $2800=2^4\cdot5^2\cdot7$ and $6125=5^3\cdot7^2$ Thus $lcm(2800,6125)=2^4\cdot5^3\cdot7^2=98000$
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