The product of two numbers is$2160$ and their HCF is $12$. Find their LCM.

HCF$=12$

LCM$=?$

Product of the two number$=2160$

Let the LCM be $\mathrm{x}$

We know that

$\mathrm{Product}\mathrm{of}\mathrm{two}\mathrm{number}$$=\mathrm{HCF}\times \mathrm{LCM}$

$2160$$=$$12\times \mathrm{x}$

$\mathrm{x}=\frac{{\displaystyle \stackrel{180}{\cancel{2160}}}}{\cancel{12}}$

$\mathrm{x}=180$

Hence, The LCM will be $180$.