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GCD and LCM (Posted on 2016-09-16) |
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Determine the total number of pairs (M,N) of positive integers with M ≤N, such that:
gcd(M,N) = 5!, and
lcm(M,N) = 51!
Prove that no further pair satisfies the given set of simultaneous equations.
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| solution | Charlie | 2016-09-16 10:18:50 |
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