# The product of two numbers is 216. If the HCF is 6, then their LCM is :

The product of two numbers is 216. If the HCF is 6, then their LCM is :
[A]46
[B]48
[C]36
[D]76

36
Let the numbers be 6x and 6y where x and y are prime to each other.
$\therefore 6x \times 6y = 216$
$=> xy = \frac{216}{6\times 6} = 6$
$\therefore LCM = 6xy = 6 \times 6 = 36$
Hence option [C] is the right answer.