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arXiv · 1112.3013

The least common multiple of random sets of positive integers

Javier Cilleruelo·Juanjo Rué·Paulius Šarka·Ana Zumalacárregui
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Abstract

We study the typical behavior of the least common multiple of the elements of a random subset $A\subset \{1,\dots, n\}$. For example we prove that $\text{lcm}\{a:\ a\in A\}=2^{n(1+o(1))}$ for almost all subsets $A\subset\{1,\dots,n\}$.

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Javier Cilleruelo, Juanjo Rué, Paulius Šarka, Ana Zumalacárregui. 2013-12-13. The least common multiple of random sets of positive integers. https://arxiv.org/abs/1112.3013

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