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Find the smallest number which is divisible by both $644$ and $462$.
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Sol. $462 = 2 \times 3 \times 7 \times 11$
$644 = 2^2 \times 7 \times 23$
$\operatorname{LCM}(462, 644) = 2^2 \times 3 \times 7 \times 11 \times 23 = 21252$
$\therefore$ Smallest number which is divisible by both $462$ and $644$ is $21252$
$644 = 2^2 \times 7 \times 23$
$\operatorname{LCM}(462, 644) = 2^2 \times 3 \times 7 \times 11 \times 23 = 21252$
$\therefore$ Smallest number which is divisible by both $462$ and $644$ is $21252$