What is the Least Common Multiple of 57270 and 57285?

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 57270 and 57285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57270 and 57285, than apply into the LCM equation.

GCF(57270,57285) = 15
LCM(57270,57285) = ( 57270 × 57285) / 15
LCM(57270,57285) = 3280711950 / 15
LCM(57270,57285) = 218714130

Least Common Multiple (LCM) of 57270 and 57285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57270 and 57285. First we will calculate the prime factors of 57270 and 57285.

Prime Factorization of 57270

Prime Factorization of 57285

Now multiplying the highest exponent prime factors to calculate the LCM of 57270 and 57285.

LCM(57270,57285) = 2¹ × 3² × 5¹ × 23¹ × 83¹ × 19¹ × 67¹
LCM(57270,57285) = 218714130