What is the Least Common Multiple of 4440 and 4444?

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 4440 and 4444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4440 and 4444, than apply into the LCM equation.

GCF(4440,4444) = 4
LCM(4440,4444) = ( 4440 × 4444) / 4
LCM(4440,4444) = 19731360 / 4
LCM(4440,4444) = 4932840

Least Common Multiple (LCM) of 4440 and 4444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4440 and 4444. First we will calculate the prime factors of 4440 and 4444.

Prime Factorization of 4440

Prime Factorization of 4444

Now multiplying the highest exponent prime factors to calculate the LCM of 4440 and 4444.

LCM(4440,4444) = 2³ × 3¹ × 5¹ × 37¹ × 11¹ × 101¹
LCM(4440,4444) = 4932840