What is the Least Common Multiple of 57084 and 57093?

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 57084 and 57093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57084 and 57093, than apply into the LCM equation.

GCF(57084,57093) = 3
LCM(57084,57093) = ( 57084 × 57093) / 3
LCM(57084,57093) = 3259096812 / 3
LCM(57084,57093) = 1086365604

Least Common Multiple (LCM) of 57084 and 57093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57084 and 57093. First we will calculate the prime factors of 57084 and 57093.

Prime Factorization of 57084

Prime Factorization of 57093

Now multiplying the highest exponent prime factors to calculate the LCM of 57084 and 57093.

LCM(57084,57093) = 2² × 3¹ × 67¹ × 71¹ × 19031¹
LCM(57084,57093) = 1086365604