HMMT 2013 U30

How many positive integers $k$ are there such that

$\frac{k}{2013}(a+b)=\operatorname{lcm}(a, b)$

has a solution in positive integers $(a, b)$ ?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

1006

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.