What is the Least Common Multiple of 88416 and 88428?

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 88416 and 88428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88416 and 88428, than apply into the LCM equation.

GCF(88416,88428) = 12
LCM(88416,88428) = ( 88416 × 88428) / 12
LCM(88416,88428) = 7818450048 / 12
LCM(88416,88428) = 651537504

Least Common Multiple (LCM) of 88416 and 88428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88416 and 88428. First we will calculate the prime factors of 88416 and 88428.

Prime Factorization of 88416

Prime Factorization of 88428

Now multiplying the highest exponent prime factors to calculate the LCM of 88416 and 88428.

LCM(88416,88428) = 2⁵ × 3² × 307¹ × 7369¹
LCM(88416,88428) = 651537504