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Let a and b be two positive integers such that a^b * b^a is divisible by 2000.  Find the least possible value of the product ab.

 Dec 29, 2019
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a^b * b^a  mod 2000 = 0 

 

a = 5   and   b=4

 

a  *  b = 20

 Dec 29, 2019

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