What is the Least Common Multiple of 44872 and 44884?

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 44872 and 44884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44872 and 44884, than apply into the LCM equation.

GCF(44872,44884) = 4
LCM(44872,44884) = ( 44872 × 44884) / 4
LCM(44872,44884) = 2014034848 / 4
LCM(44872,44884) = 503508712

Least Common Multiple (LCM) of 44872 and 44884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44872 and 44884. First we will calculate the prime factors of 44872 and 44884.

Prime Factorization of 44872

Prime Factorization of 44884

Now multiplying the highest exponent prime factors to calculate the LCM of 44872 and 44884.

LCM(44872,44884) = 2³ × 71¹ × 79¹ × 7² × 229¹
LCM(44872,44884) = 503508712