Given that HCF (306, 657) = 9, find LCM (306, 657).
We are given that $HCF(306, 657) = 9$.
We know the relationship between HCF and LCM:
$LCM(a, b) = \frac{a \times b}{HCF(a, b)}$
Substituting the given values:
$LCM(306, 657) = \frac{306 \times 657}{9}$
First, calculate the product of 306 and 657:
$306 \times 657 = 201762$
Now, divide by 9:
$LCM(306, 657) = \frac{201762}{9} = 22418$
Therefore, the LCM of 306 and 657 is 22418.