What is the Least Common Multiple of 51204 and 51219?

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 51204 and 51219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51204 and 51219, than apply into the LCM equation.

GCF(51204,51219) = 3
LCM(51204,51219) = ( 51204 × 51219) / 3
LCM(51204,51219) = 2622617676 / 3
LCM(51204,51219) = 874205892

Least Common Multiple (LCM) of 51204 and 51219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51204 and 51219. First we will calculate the prime factors of 51204 and 51219.

Prime Factorization of 51204

Prime Factorization of 51219

Now multiplying the highest exponent prime factors to calculate the LCM of 51204 and 51219.

LCM(51204,51219) = 2² × 3³ × 17¹ × 251¹ × 7¹ × 271¹
LCM(51204,51219) = 874205892