What is the Least Common Multiple of 50268 and 50286?

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 50268 and 50286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50268 and 50286, than apply into the LCM equation.

GCF(50268,50286) = 6
LCM(50268,50286) = ( 50268 × 50286) / 6
LCM(50268,50286) = 2527776648 / 6
LCM(50268,50286) = 421296108

Least Common Multiple (LCM) of 50268 and 50286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50268 and 50286. First we will calculate the prime factors of 50268 and 50286.

Prime Factorization of 50268

Prime Factorization of 50286

Now multiplying the highest exponent prime factors to calculate the LCM of 50268 and 50286.

LCM(50268,50286) = 2² × 3¹ × 59¹ × 71¹ × 17² × 29¹
LCM(50268,50286) = 421296108