What is the Least Common Multiple of 50604 and 50614?

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 50614 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 50614, than apply into the LCM equation.

GCF(50604,50614) = 2
LCM(50604,50614) = ( 50604 × 50614) / 2
LCM(50604,50614) = 2561270856 / 2
LCM(50604,50614) = 1280635428

Least Common Multiple (LCM) of 50604 and 50614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50604 and 50614. First we will calculate the prime factors of 50604 and 50614.

Prime Factorization of 50604

Prime Factorization of 50614

Now multiplying the highest exponent prime factors to calculate the LCM of 50604 and 50614.

LCM(50604,50614) = 2² × 3¹ × 4217¹ × 25307¹
LCM(50604,50614) = 1280635428