What is the Least Common Multiple of 44936 and 44942?

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 44936 and 44942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44936 and 44942, than apply into the LCM equation.

GCF(44936,44942) = 2
LCM(44936,44942) = ( 44936 × 44942) / 2
LCM(44936,44942) = 2019513712 / 2
LCM(44936,44942) = 1009756856

Least Common Multiple (LCM) of 44936 and 44942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44936 and 44942. First we will calculate the prime factors of 44936 and 44942.

Prime Factorization of 44936

Prime Factorization of 44942

Now multiplying the highest exponent prime factors to calculate the LCM of 44936 and 44942.

LCM(44936,44942) = 2³ × 41¹ × 137¹ × 23¹ × 977¹
LCM(44936,44942) = 1009756856