What is the Least Common Multiple of 57198 and 57212?

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 57212 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 57212, than apply into the LCM equation.

GCF(57198,57212) = 2
LCM(57198,57212) = ( 57198 × 57212) / 2
LCM(57198,57212) = 3272411976 / 2
LCM(57198,57212) = 1636205988

Least Common Multiple (LCM) of 57198 and 57212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57198 and 57212. First we will calculate the prime factors of 57198 and 57212.

Prime Factorization of 57198

Prime Factorization of 57212

Now multiplying the highest exponent prime factors to calculate the LCM of 57198 and 57212.

LCM(57198,57212) = 2² × 3¹ × 9533¹ × 14303¹
LCM(57198,57212) = 1636205988