olymmath

CMO 1997 Problem 1

  • Paper

Determine the number of pairs of positive integers x,yx,y such that x≤yx\le y , gcd⁡(x,y)=5!\gcd (x,y)=5! and lcm(x,y)=50!\text{lcm}(x,y)=50! .

Dataset text AI-MO AoPS. Quoted with source.

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