Question

The LCM of two numbers is $2516$ and the square root of their HCF is $2$, find the product of the two numbers.

Answer 1

LCM of two numbers is $2516$

Square root of their HCF is $2$

The HCF of the two numbers$=2\times 2=4$

By the formula of LCM for two numbers we have:

$LCM(a,b)=(a\times b)/HCF(a,b)$

$$\begin{gathered} (a\times b)=LCM(a,b)\times HCF(a,b) \\ (a\times b)=2516\times 4 \\ (a\times b)=1064 \end{gathered}$$

Therefore, the product of the two numbers is $1064.$