The HCF of two numbers is 16 and their product is 3072, find their LCM.

The HCF (Highest Common Factor) of two numbers is the highest possible number which divides the two numbers exactly without any remainder and the least common multiple (LCM) of two numbers is the smallest number among all common multiples of the two numbers.

Answer: If the HCF of two numbers is 16 and their product is 3072, then their LCM is 192.

Explanation: 

We will use the following formula to find the LCM of the numbers.

LCM (a, b) = (a × b) / HCF (a, b)

Given the product (a × b) = 3072

and the HCF (a,b) = 16.

Therefore LCM (a,b) = 3072/16

= 192

Thus, if the HCF of two numbers is 16 and their product is 3072, then their LCM is 192.