What is the Least Common Multiple of 44908 and 44922?

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 44908 and 44922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44908 and 44922, than apply into the LCM equation.

GCF(44908,44922) = 2
LCM(44908,44922) = ( 44908 × 44922) / 2
LCM(44908,44922) = 2017357176 / 2
LCM(44908,44922) = 1008678588

Least Common Multiple (LCM) of 44908 and 44922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44908 and 44922. First we will calculate the prime factors of 44908 and 44922.

Prime Factorization of 44908

Prime Factorization of 44922

Now multiplying the highest exponent prime factors to calculate the LCM of 44908 and 44922.

LCM(44908,44922) = 2² × 103¹ × 109¹ × 3¹ × 7487¹
LCM(44908,44922) = 1008678588