Question

What is the LCM of 36 and 48, if the HCF is 12?

• A. 144
• B. 72
• C. 96
• D. 100

Answer 1

The correct option is A 144

Given: HCF of 36 and 48 = 12
Product of given two numbers = Product of their HCF and LCM
$\Rightarrow$ 36 $\times$ 48 = 12 $\times$ LCM
$\Rightarrow$ LCM = $\frac{36\times 48}{12}$
$\Rightarrow$ LCM = 144
$\therefore$ LCM of 36 and 48 is 144.