What is the Least Common Multiple of 4440 and 4447?

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 4447 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 4447, than apply into the LCM equation.

GCF(4440,4447) = 1
LCM(4440,4447) = ( 4440 × 4447) / 1
LCM(4440,4447) = 19744680 / 1
LCM(4440,4447) = 19744680

Least Common Multiple (LCM) of 4440 and 4447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4440 and 4447. First we will calculate the prime factors of 4440 and 4447.

Prime Factorization of 4440

Prime Factorization of 4447

Now multiplying the highest exponent prime factors to calculate the LCM of 4440 and 4447.

LCM(4440,4447) = 2³ × 3¹ × 5¹ × 37¹ × 4447¹
LCM(4440,4447) = 19744680