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# What is the least common multiple of each pair in Exercise ISBN: 9780073383095 37

## Solution for problem 26E Chapter 4.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 26E

What is the least common multiple of each pair in Exercise 24?

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Solution:-Step1Given thatWe have to determine what is the “least common multiple” of the pair in Exercise 24Step2a) 22 · 33 · 55, 25 · 33 · 52Definition: - The least common multiple of two integers c and d are the smallest positive integer that is divisible by both c and d.The positive common multiple of two number islcm (lcm=least common multiple)lcmTherefore, the least common multiple of each pair of integers is .Step3b) 2·3·5·7 · 11 ·13 , 211 ·39· 11 ·1714The positive common multiple of two number islcm (lcm=least common multiple)lcm=Therefore, the least common multiple of each pair of integers is .Step4c) 17, 1717The positive...

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##### ISBN: 9780073383095

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