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

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.

Answer is 22418.

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