What is the Least Common Multiple of 57096 and 57114?

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 57096 and 57114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57096 and 57114, than apply into the LCM equation.

GCF(57096,57114) = 18
LCM(57096,57114) = ( 57096 × 57114) / 18
LCM(57096,57114) = 3260980944 / 18
LCM(57096,57114) = 181165608

Least Common Multiple (LCM) of 57096 and 57114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57096 and 57114. First we will calculate the prime factors of 57096 and 57114.

Prime Factorization of 57096

Prime Factorization of 57114

Now multiplying the highest exponent prime factors to calculate the LCM of 57096 and 57114.

LCM(57096,57114) = 2³ × 3² × 13¹ × 61¹ × 19¹ × 167¹
LCM(57096,57114) = 181165608