2021 LMT Spring Division A Problem 16
Source:
October 22, 2021
Problem Statement
Find the number of ordered pairs of positive integers less than or equal to such that \gcd(a,b)>1 \text{and} \frac{1}{\gcd(a,b)}+\frac{a+b}{\text{lcm}(a,b)} \geq 1.Proposed by Zachary Perry