What is the Least Common Multiple of 57178 and 57189?

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 57178 and 57189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57178 and 57189, than apply into the LCM equation.

GCF(57178,57189) = 11
LCM(57178,57189) = ( 57178 × 57189) / 11
LCM(57178,57189) = 3269952642 / 11
LCM(57178,57189) = 297268422

Least Common Multiple (LCM) of 57178 and 57189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57178 and 57189. First we will calculate the prime factors of 57178 and 57189.

Prime Factorization of 57178

Prime Factorization of 57189

Now multiplying the highest exponent prime factors to calculate the LCM of 57178 and 57189.

LCM(57178,57189) = 2¹ × 11¹ × 23¹ × 113¹ × 3¹ × 1733¹
LCM(57178,57189) = 297268422