alleryGiven that $\operatorname{HCF}(306,657)=9$, what is $\operatorname{LCM}(306,657)$?
A$22338$
B$204$
C$21318$
D$19998$
Answer & Solution
Correct answer: A. $22338$
Use $\operatorname{HCF}(a,b)\times \operatorname{LCM}(a,b)=a\times b$. Thus,
$$
\operatorname{LCM}(306,657)=\frac{306\times 657}{9}.
$$
Now $306\div 9=34$, so the LCM is $34\times 657=22338$.
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