MathDB
2011 PUMaC Number Theory A2 / B4

Source:

September 24, 2019
number theory

Problem Statement

What is the largest positive integer n<1000n < 1000 for which there is a positive integer mm satisfying lcm(m,n)=3m×gcd⁡(m,n)?\text{lcm}(m,n) = 3m \times \gcd(m,n)?
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