Question 88
How many positive integers $k$ are there such that
$$
\frac{k}{2013}(a+b)=\operatorname{lcm}(a, b)
$$
has a solution in positive integers $(a, b)$?
$$
\frac{k}{2013}(a+b)=\operatorname{lcm}(a, b)
$$
has a solution in positive integers $(a, b)$?