What is the Least Common Multiple of 50612 and 50619?

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 50612 and 50619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50612 and 50619, than apply into the LCM equation.

GCF(50612,50619) = 1
LCM(50612,50619) = ( 50612 × 50619) / 1
LCM(50612,50619) = 2561928828 / 1
LCM(50612,50619) = 2561928828

Least Common Multiple (LCM) of 50612 and 50619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50612 and 50619. First we will calculate the prime factors of 50612 and 50619.

Prime Factorization of 50612

Prime Factorization of 50619

Now multiplying the highest exponent prime factors to calculate the LCM of 50612 and 50619.

LCM(50612,50619) = 2² × 12653¹ × 3¹ × 47¹ × 359¹
LCM(50612,50619) = 2561928828