Given numbers are 852 and 1491
The prime factorization of 852 and 1491 gives:
852 = 2 × 2 × 3 × 71 and 1491 = 3 × 7 × 71
Therefore, the H.C.F of these two integers = 3 × 71 = 213
Now, the L.C.M of 96 and 404 = 2 × 2 × 3 × 7 × 71 = 5964
Now, we have to verify
L.H.S = L.C.M × H.C.F = 5964 × 213 = 1270332
R.H.S = Product of two numbers = 852 × 1491 = 1270332
Hence, L.H.S = R.H.S
So, the product of two numbers is equal to the product of their HCF and LCM.
