What is the Least Common Multiple of 79712 and 79728?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 79712 and 79728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79712 and 79728, than apply into the LCM equation.

GCF(79712,79728) = 16
LCM(79712,79728) = ( 79712 × 79728) / 16
LCM(79712,79728) = 6355278336 / 16
LCM(79712,79728) = 397204896

Least Common Multiple (LCM) of 79712 and 79728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79712 and 79728. First we will calculate the prime factors of 79712 and 79728.

Prime Factorization of 79712

Prime Factorization of 79728

Now multiplying the highest exponent prime factors to calculate the LCM of 79712 and 79728.

LCM(79712,79728) = 2⁵ × 47¹ × 53¹ × 3¹ × 11¹ × 151¹
LCM(79712,79728) = 397204896