## Problem of the Day #258: Least Common Multiple
*December 2, 2011*

*Posted by Alex in : potd , trackback*

Saketh randomly chooses two numbers $a$ and $b$, with replacement, from the set of numbers that can be written as $2^x 3^y 5^z 7^w$ ($1 \le x, y, z, w \le 100$). Find the expected value of $\log(\operatorname{lcm}(a, b))$.

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