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| LCM and Equality Puzzle (Posted on 2015-09-07) |
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Each of M and N is a positive integer such that:
LCM (M, M+5) = LCM(N, N+5)
Is M always equal to N? Give reasons for your answer.
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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For any prime P, with M and N positive integers,
M = N if and only if:LCM(M,M+P) = LCM(N,N+P)
For an explanation, refer to the analytical solution submitted by Steve Herman in this location.
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