What is the Least Common Multiple of 57198 and 57210?

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 57198 and 57210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57198 and 57210, than apply into the LCM equation.

GCF(57198,57210) = 6
LCM(57198,57210) = ( 57198 × 57210) / 6
LCM(57198,57210) = 3272297580 / 6
LCM(57198,57210) = 545382930

Least Common Multiple (LCM) of 57198 and 57210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57198 and 57210. First we will calculate the prime factors of 57198 and 57210.

Prime Factorization of 57198

Prime Factorization of 57210

Now multiplying the highest exponent prime factors to calculate the LCM of 57198 and 57210.

LCM(57198,57210) = 2¹ × 3¹ × 9533¹ × 5¹ × 1907¹
LCM(57198,57210) = 545382930