What is the Least Common Multiple of 44124 and 44136?

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 44124 and 44136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44124 and 44136, than apply into the LCM equation.

GCF(44124,44136) = 12
LCM(44124,44136) = ( 44124 × 44136) / 12
LCM(44124,44136) = 1947456864 / 12
LCM(44124,44136) = 162288072

Least Common Multiple (LCM) of 44124 and 44136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44124 and 44136. First we will calculate the prime factors of 44124 and 44136.

Prime Factorization of 44124

Prime Factorization of 44136

Now multiplying the highest exponent prime factors to calculate the LCM of 44124 and 44136.

LCM(44124,44136) = 2³ × 3² × 3677¹ × 613¹
LCM(44124,44136) = 162288072