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arXiv · 2410.09138

Resolution of an Erd\H{o}s' problem on least common multiples

Stijn Cambie
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Abstract

Erd\H{o}s posed the question whether there exist infinitely many sets of consecutive numbers whose least common multiple (lcm) exceeds the lcm of another, larger set with greater consecutive numbers. In this paper, we answer this question affirmatively by proving that the ratio of the lcm's can be made arbitrarily large.

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Stijn Cambie. 2024-10-11. Resolution of an Erd\H{o}s' problem on least common multiples. https://arxiv.org/abs/2410.09138

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