What is the Least Common Multiple of 57144 and 57158?

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 57144 and 57158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57144 and 57158, than apply into the LCM equation.

GCF(57144,57158) = 2
LCM(57144,57158) = ( 57144 × 57158) / 2
LCM(57144,57158) = 3266236752 / 2
LCM(57144,57158) = 1633118376

Least Common Multiple (LCM) of 57144 and 57158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57144 and 57158. First we will calculate the prime factors of 57144 and 57158.

Prime Factorization of 57144

Prime Factorization of 57158

Now multiplying the highest exponent prime factors to calculate the LCM of 57144 and 57158.

LCM(57144,57158) = 2³ × 3¹ × 2381¹ × 28579¹
LCM(57144,57158) = 1633118376