What is the Least Common Multiple of 57189 and 57204?

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 57189 and 57204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57189 and 57204, than apply into the LCM equation.

GCF(57189,57204) = 3
LCM(57189,57204) = ( 57189 × 57204) / 3
LCM(57189,57204) = 3271439556 / 3
LCM(57189,57204) = 1090479852

Least Common Multiple (LCM) of 57189 and 57204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57189 and 57204. First we will calculate the prime factors of 57189 and 57204.

Prime Factorization of 57189

Prime Factorization of 57204

Now multiplying the highest exponent prime factors to calculate the LCM of 57189 and 57204.

LCM(57189,57204) = 3² × 11¹ × 1733¹ × 2² × 7¹ × 227¹
LCM(57189,57204) = 1090479852