What is the Least Common Multiple of 44854 and 44872?

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 44854 and 44872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44854 and 44872, than apply into the LCM equation.

GCF(44854,44872) = 2
LCM(44854,44872) = ( 44854 × 44872) / 2
LCM(44854,44872) = 2012688688 / 2
LCM(44854,44872) = 1006344344

Least Common Multiple (LCM) of 44854 and 44872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44854 and 44872. First we will calculate the prime factors of 44854 and 44872.

Prime Factorization of 44854

Prime Factorization of 44872

Now multiplying the highest exponent prime factors to calculate the LCM of 44854 and 44872.

LCM(44854,44872) = 2³ × 41¹ × 547¹ × 71¹ × 79¹
LCM(44854,44872) = 1006344344