What is the Least Common Multiple of 57006 and 57012?

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 57006 and 57012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57006 and 57012, than apply into the LCM equation.

GCF(57006,57012) = 6
LCM(57006,57012) = ( 57006 × 57012) / 6
LCM(57006,57012) = 3250026072 / 6
LCM(57006,57012) = 541671012

Least Common Multiple (LCM) of 57006 and 57012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57006 and 57012. First we will calculate the prime factors of 57006 and 57012.

Prime Factorization of 57006

Prime Factorization of 57012

Now multiplying the highest exponent prime factors to calculate the LCM of 57006 and 57012.

LCM(57006,57012) = 2² × 3² × 3167¹ × 4751¹
LCM(57006,57012) = 541671012