# When calculators probably can't help

Number Theory Level 3

$\large \large \frac {n!}{k} = (2 \times 3 \times 5 \times 7)^{2 + 3 + 5 + 7}$

Given the equation above is true for integers $$k$$ and $$n$$, what is the least possible value of $$n$$?

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