What is the Least Common Multiple of 57087 and 57099?

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 57087 and 57099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57087 and 57099, than apply into the LCM equation.

GCF(57087,57099) = 3
LCM(57087,57099) = ( 57087 × 57099) / 3
LCM(57087,57099) = 3259610613 / 3
LCM(57087,57099) = 1086536871

Least Common Multiple (LCM) of 57087 and 57099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57087 and 57099. First we will calculate the prime factors of 57087 and 57099.

Prime Factorization of 57087

Prime Factorization of 57099

Now multiplying the highest exponent prime factors to calculate the LCM of 57087 and 57099.

LCM(57087,57099) = 3² × 6343¹ × 7¹ × 2719¹
LCM(57087,57099) = 1086536871