What is the Least Common Multiple of 51192 and 51204?

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 51192 and 51204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51192 and 51204, than apply into the LCM equation.

GCF(51192,51204) = 12
LCM(51192,51204) = ( 51192 × 51204) / 12
LCM(51192,51204) = 2621235168 / 12
LCM(51192,51204) = 218436264

Least Common Multiple (LCM) of 51192 and 51204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51192 and 51204. First we will calculate the prime factors of 51192 and 51204.

Prime Factorization of 51192

Prime Factorization of 51204

Now multiplying the highest exponent prime factors to calculate the LCM of 51192 and 51204.

LCM(51192,51204) = 2³ × 3⁴ × 79¹ × 17¹ × 251¹
LCM(51192,51204) = 218436264