Question

# Given that HCF (306 and 657) =9, find LCM of (306 and 657).

Hint: Here we need to find the Least Common Multiple (LCM) of 306 and 657 by using the relation between HCF and LCM.

$\Rightarrow 306 = 2 \times 3 \times 3 \times 17 = 9 \times 2 \times 17$
$\Rightarrow 657 = 3 \times 3 \times 73 = 9 \times 73$
$\Rightarrow L.C.M = H.C.F \times {\text{(remaining factors)}} \\ \Rightarrow L.C.M = 9 \times (2 \times 17 \times 73) = 22338 \\$