The HCF of two numbers is $11$and if their product is $7623$. Find their LCM.

Find the required LCM

For any two numbers $M_1$ and $M_2$ we have,

$M_1\times M_2=$LCM $(M_1,M_2)$$\times$HCF $(M_1,M_2)$

i.e Product of two numbers $=$Product of their LCM and HCF.

Here, we have given that

Product of numbers $=7623$

HCF $=11$

Using these in above result, we get

$7623=$LCM $\times$ HCF

$\Rightarrow$$7623=$LCM $\times 11$

$\Rightarrow$$\frac{7623}{11}=$LCM

$\Rightarrow$$693=$LCM

Therefore, LCM of two numbers $=693$