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Found problems: 1

Kvant 2024, M2779
Tags: number theory , lowest common multiple
Prove that for any natural number $k{}$ there is a natural number $n{}$ such that $\mathrm{lcm}(1,2,\ldots,n)=\mathrm{lcm}(1,2,\ldots,n+k).$ [i]From the folklore[/i]