Question

If $x$ and $y$ are two co-primes, then their L.C.M. is ?

• A. $xy$
• B. $x+y$
• C. $\frac{x}{y}$
• D. $1$

Answer 1

The correct option is A

$xy$

Find L.C.M. of co-primes

Co-prime numbers are the numbers whose common factor is only $1$.

It is given that $x$ and $y$ are co-prime.

So H.C.F.$=1$

We know that, H.C.F. $\times$ L.C.M.$=$ Product of numbers

$\Rightarrow 1\times$L.C.M. $=xy$

$\Rightarrow$ L.C.M. $=xy$

Hence, option(A) is the correct answer.