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Prove that if a, b E 2:, then (a) n (b) = (m), where m is the least common multiple of a

Chapter 15, Problem 15.24

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QUESTION:

Prove that if a, b E 2:, then (a) n (b) = (m), where m is the least common multiple of a andb. Formulate a generalization involving (al) n (a2) n ... n (an) for ai, a2, "', an E 2:.

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QUESTION:

Prove that if a, b E 2:, then (a) n (b) = (m), where m is the least common multiple of a andb. Formulate a generalization involving (al) n (a2) n ... n (an) for ai, a2, "', an E 2:.

ANSWER:

Step 1 of 4

To show:- If , then , where m is the least common multiple of  and .

 

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