Assertion (A): For two prime numbers x and y (x< y ), HCF (x, y )=x and LCM (x, y )= y. Reason (R): HCF (x, y ) ≤ LCM (x, y ), where x, y are any two…

Assertion (A) : For two prime numbers $\displaystyle x$ and $\displaystyle \mathrm{y}(x<\mathrm{y}), \operatorname{HCF}(x, \mathrm{y})=x$ and $\displaystyle \operatorname{LCM}(x, \mathrm{y})=\mathrm{y}$. Reason (R) : $\displaystyle \operatorname{HCF}(x, \mathrm{y}) \leq \operatorname{LCM}(x, \mathrm{y})$, where $\displaystyle x$, y are any two natural numbers.