Let $$P=\prod_{k=1}^{2019} \operatorname{lcm}\left(1,2,\dots,\left\lfloor\frac{2019}k\right\rfloor\right).$$ Given that $P=n!$, find $n$.
This is the question provided, I do not really know how to approach this.
2026-03-28 12:02:25.1774699345
What is n, in this product involving the floor function and lcm
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