What is the Least Common Multiple of 50916 and 50931?

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 50916 and 50931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50916 and 50931, than apply into the LCM equation.

GCF(50916,50931) = 3
LCM(50916,50931) = ( 50916 × 50931) / 3
LCM(50916,50931) = 2593202796 / 3
LCM(50916,50931) = 864400932

Least Common Multiple (LCM) of 50916 and 50931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50916 and 50931. First we will calculate the prime factors of 50916 and 50931.

Prime Factorization of 50916

Prime Factorization of 50931

Now multiplying the highest exponent prime factors to calculate the LCM of 50916 and 50931.

LCM(50916,50931) = 2² × 3² × 4243¹ × 5659¹
LCM(50916,50931) = 864400932