What is the Least Common Multiple of 57084 and 57089?

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 57089 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 57089, than apply into the LCM equation.

GCF(57084,57089) = 1
LCM(57084,57089) = ( 57084 × 57089) / 1
LCM(57084,57089) = 3258868476 / 1
LCM(57084,57089) = 3258868476

Least Common Multiple (LCM) of 57084 and 57089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57084 and 57089. First we will calculate the prime factors of 57084 and 57089.

Prime Factorization of 57084

Prime Factorization of 57089

Now multiplying the highest exponent prime factors to calculate the LCM of 57084 and 57089.

LCM(57084,57089) = 2² × 3¹ × 67¹ × 71¹ × 57089¹
LCM(57084,57089) = 3258868476