What is the Least Common Multiple of 50808 and 50812?

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 50808 and 50812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50808 and 50812, than apply into the LCM equation.

GCF(50808,50812) = 4
LCM(50808,50812) = ( 50808 × 50812) / 4
LCM(50808,50812) = 2581656096 / 4
LCM(50808,50812) = 645414024

Least Common Multiple (LCM) of 50808 and 50812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50808 and 50812. First we will calculate the prime factors of 50808 and 50812.

Prime Factorization of 50808

Prime Factorization of 50812

Now multiplying the highest exponent prime factors to calculate the LCM of 50808 and 50812.

LCM(50808,50812) = 2³ × 3¹ × 29¹ × 73¹ × 12703¹
LCM(50808,50812) = 645414024