What is the Least Common Multiple of 44920 and 44939?

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 44920 and 44939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44920 and 44939, than apply into the LCM equation.

GCF(44920,44939) = 1
LCM(44920,44939) = ( 44920 × 44939) / 1
LCM(44920,44939) = 2018659880 / 1
LCM(44920,44939) = 2018659880

Least Common Multiple (LCM) of 44920 and 44939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44920 and 44939. First we will calculate the prime factors of 44920 and 44939.

Prime Factorization of 44920

Prime Factorization of 44939

Now multiplying the highest exponent prime factors to calculate the LCM of 44920 and 44939.

LCM(44920,44939) = 2³ × 5¹ × 1123¹ × 44939¹
LCM(44920,44939) = 2018659880