The least common multiple of random sets of positive integers
  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 $A\subset\{1,\dots,n\}$. 
Javier Cilleruelo, Juanjo Ru\'e, Paulius \v{S}arka and Ana   Zumalac\'arregui
math.NT