# 2015 Positive Divisors

**Number Theory**Level 4

Let \(m\) and \(n\) be the least positive integers such that \(5m^{3}\) and \(4n^{4}\) each have exactly 2015 positive divisors. Find \(\frac { m }{ n }\).

Let \(m\) and \(n\) be the least positive integers such that \(5m^{3}\) and \(4n^{4}\) each have exactly 2015 positive divisors. Find \(\frac { m }{ n }\).

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