VN-TST 2007 Problem 5

Let $A\subset \{1,2,\ldots,4014\}$ , $|A|=2007$ , such that $a$ does not divide $b$ for all distinct elements $a,b\in A$ . For a set $X$ as above let us denote with $m_{X}$ the smallest element in $X$ . Find $\min m_{A}$ (for all $A$ with the above properties).