What is the Least Common Multiple of 4416 and 4428?

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 4416 and 4428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4416 and 4428, than apply into the LCM equation.

GCF(4416,4428) = 12
LCM(4416,4428) = ( 4416 × 4428) / 12
LCM(4416,4428) = 19554048 / 12
LCM(4416,4428) = 1629504

Least Common Multiple (LCM) of 4416 and 4428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4416 and 4428. First we will calculate the prime factors of 4416 and 4428.

Prime Factorization of 4416

Prime Factorization of 4428

Now multiplying the highest exponent prime factors to calculate the LCM of 4416 and 4428.

LCM(4416,4428) = 2⁶ × 3³ × 23¹ × 41¹
LCM(4416,4428) = 1629504