In 2004 Kevin Ford established sharp asymptotics on Erdős' problem on the number of different products $a\cdot b$, $a,b\in \{1,\dots,n\}$.

(http://arxiv.org/abs/math/0401223, see also discussion here: Number of elements in the set $\{1,\cdots,n\}\cdot\{1,\cdots,n\}$)

My naive question is whether there are much less different numbers of the form $\operatorname{lcm}(a,b)$, where $a,b\in \{1,\dots,n\}$.