What is the Least Common Multiple of 83712 and 83728?

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 83712 and 83728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83712 and 83728, than apply into the LCM equation.

GCF(83712,83728) = 16
LCM(83712,83728) = ( 83712 × 83728) / 16
LCM(83712,83728) = 7009038336 / 16
LCM(83712,83728) = 438064896

Least Common Multiple (LCM) of 83712 and 83728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83712 and 83728. First we will calculate the prime factors of 83712 and 83728.

Prime Factorization of 83712

Prime Factorization of 83728

Now multiplying the highest exponent prime factors to calculate the LCM of 83712 and 83728.

LCM(83712,83728) = 2⁸ × 3¹ × 109¹ × 5233¹
LCM(83712,83728) = 438064896