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⊂{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}.