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If m is the smallest positive integer such that m! is a multiple of 4125, and n is the smallest positive integer such that n! is a multiple of 281600, then find n-m.

 Oct 3, 2020
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m = 15!

15! mod 4125 = 0

 

n = 12!

12! mod 281600 = 0

 

n - m =12 - 15 = -3

 Oct 4, 2020

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