If m is the smallest positive integer such that m! is a multiple of 4125, and n is the smallest positive integer such that n! is a multiple of 2816000, then find n-m.
Hello,
m and n can only be bigger than 4125 or 2816000,
\(m=15\) \(\frac{15!}{4125}=317011968\) and
\(n=15\) \(\frac{15!}{2816000}=464373\) .
n is also 15.
Straight
