What is the Least Common Multiple of 57135 and 57150?

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 57135 and 57150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57135 and 57150, than apply into the LCM equation.

GCF(57135,57150) = 15
LCM(57135,57150) = ( 57135 × 57150) / 15
LCM(57135,57150) = 3265265250 / 15
LCM(57135,57150) = 217684350

Least Common Multiple (LCM) of 57135 and 57150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57135 and 57150. First we will calculate the prime factors of 57135 and 57150.

Prime Factorization of 57135

Prime Factorization of 57150

Now multiplying the highest exponent prime factors to calculate the LCM of 57135 and 57150.

LCM(57135,57150) = 3² × 5² × 13¹ × 293¹ × 2¹ × 127¹
LCM(57135,57150) = 217684350