What is the Least Common Multiple of 57084 and 57102?

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 57102 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 57102, than apply into the LCM equation.

GCF(57084,57102) = 6
LCM(57084,57102) = ( 57084 × 57102) / 6
LCM(57084,57102) = 3259610568 / 6
LCM(57084,57102) = 543268428

Least Common Multiple (LCM) of 57084 and 57102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57084 and 57102. First we will calculate the prime factors of 57084 and 57102.

Prime Factorization of 57084

Prime Factorization of 57102

Now multiplying the highest exponent prime factors to calculate the LCM of 57084 and 57102.

LCM(57084,57102) = 2² × 3¹ × 67¹ × 71¹ × 31¹ × 307¹
LCM(57084,57102) = 543268428