What is the Least Common Multiple of 44944 and 44950?

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 44944 and 44950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44944 and 44950, than apply into the LCM equation.

GCF(44944,44950) = 2
LCM(44944,44950) = ( 44944 × 44950) / 2
LCM(44944,44950) = 2020232800 / 2
LCM(44944,44950) = 1010116400

Least Common Multiple (LCM) of 44944 and 44950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44944 and 44950. First we will calculate the prime factors of 44944 and 44950.

Prime Factorization of 44944

Prime Factorization of 44950

Now multiplying the highest exponent prime factors to calculate the LCM of 44944 and 44950.

LCM(44944,44950) = 2⁴ × 53² × 5² × 29¹ × 31¹
LCM(44944,44950) = 1010116400