Question

Justify why the product of two number is the product of lcm and hcf

Answer 1

Answer:

Let the two numbers be x and y.

Let LCM of x,y = L , HCF of x,y = H

now,

x = n × H & y = m × H for some n,m such that n & m are co-primes.

now L = n×m×H as n,m are co-primes.

H×L = n×H×m×H=x×y