What is the Least Common Multiple of 50604 and 50623?

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 50604 and 50623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50604 and 50623, than apply into the LCM equation.

GCF(50604,50623) = 1
LCM(50604,50623) = ( 50604 × 50623) / 1
LCM(50604,50623) = 2561726292 / 1
LCM(50604,50623) = 2561726292

Least Common Multiple (LCM) of 50604 and 50623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50604 and 50623. First we will calculate the prime factors of 50604 and 50623.

Prime Factorization of 50604

Prime Factorization of 50623

Now multiplying the highest exponent prime factors to calculate the LCM of 50604 and 50623.

LCM(50604,50623) = 2² × 3¹ × 4217¹ × 23¹ × 31¹ × 71¹
LCM(50604,50623) = 2561726292