Question

If HCF of 52 and 182 is 26, find their LCM.

Answer 1

We know that $LCM(a,b)\times HCF(a,b)=a\times b$.

Let $a=52$, $b=182$ and $HCF(a,b)=26$, then the $LCM$ of $a$ and $b$ is:

$LCM(a,b)\times 26=52\times 182\Rightarrow 26LCM(a,b)=9464\Rightarrow LCM(a,b)=\frac{9464}{26}=364$

Hence, $LCM$ of $52$ and $182$ is $364$.