In the following equation x, y, and n are positive integers.
1/`x` + 1/`y` = 1/`n`
It can be verified that when `n` = 1260 there are 113 distinct solutions and this is the least value of `n` for which the total number of distinct solutions exceeds one hundred.
What is the least value of `n` for which the number of distinct solutions exceeds four million?