What is the Least Common Multiple of 50922 and 50937?

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 50922 and 50937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50922 and 50937, than apply into the LCM equation.

GCF(50922,50937) = 3
LCM(50922,50937) = ( 50922 × 50937) / 3
LCM(50922,50937) = 2593813914 / 3
LCM(50922,50937) = 864604638

Least Common Multiple (LCM) of 50922 and 50937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50922 and 50937. First we will calculate the prime factors of 50922 and 50937.

Prime Factorization of 50922

Prime Factorization of 50937

Now multiplying the highest exponent prime factors to calculate the LCM of 50922 and 50937.

LCM(50922,50937) = 2¹ × 3³ × 23¹ × 41¹ × 16979¹
LCM(50922,50937) = 864604638