Justify why the product of two numbers is the product of their hcf or lcm
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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
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