| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593792 | Journal of Number Theory | 2014 | 13 Pages |
Abstract
We study the typical behavior of the least common multiple of the elements of a random subset A⊂{1,…,n}A⊂{1,…,n}. For example we prove that lcm{a:a∈A}=2n(1+o(1))lcm{a:a∈A}=2n(1+o(1)) for almost all subsets A⊂{1,…,n}A⊂{1,…,n}.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Javier Cilleruelo, Juanjo Rué, Paulius Šarka, Ana Zumalacárregui,