What is the Least Common Multiple of 57108 and 57126?

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 57108 and 57126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57108 and 57126, than apply into the LCM equation.

GCF(57108,57126) = 6
LCM(57108,57126) = ( 57108 × 57126) / 6
LCM(57108,57126) = 3262351608 / 6
LCM(57108,57126) = 543725268

Least Common Multiple (LCM) of 57108 and 57126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57108 and 57126. First we will calculate the prime factors of 57108 and 57126.

Prime Factorization of 57108

Prime Factorization of 57126

Now multiplying the highest exponent prime factors to calculate the LCM of 57108 and 57126.

LCM(57108,57126) = 2² × 3¹ × 4759¹ × 9521¹
LCM(57108,57126) = 543725268