What is the Least Common Multiple of 44424 and 44428?

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 44424 and 44428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44424 and 44428, than apply into the LCM equation.

GCF(44424,44428) = 4
LCM(44424,44428) = ( 44424 × 44428) / 4
LCM(44424,44428) = 1973669472 / 4
LCM(44424,44428) = 493417368

Least Common Multiple (LCM) of 44424 and 44428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44424 and 44428. First we will calculate the prime factors of 44424 and 44428.

Prime Factorization of 44424

Prime Factorization of 44428

Now multiplying the highest exponent prime factors to calculate the LCM of 44424 and 44428.

LCM(44424,44428) = 2³ × 3² × 617¹ × 29¹ × 383¹
LCM(44424,44428) = 493417368