Write the smallest composite number and find the L.C.M. of the smallest prime number and the smallest composite number

We know that, a natural number having exactly two factors, $1$ and the number itself, is called a prime number.

Also, a natural number having more than two factors is called a composite number.

Therefore,

smallest prime number is $2$

and smallest composite number is $4$

L.C.M. of the smallest prime number and the smallest composite number:

$2|2.4$

_________

$2|1,2$

_________

$1,1$

$LCM=2\times 2=4$

Hence, the smallest composite number is $4$ and the L.C.M. of the smallest prime number and the smallest composite number is also $4$.