What is the Least Common Multiple of 57864 and 57873?

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 57864 and 57873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57864 and 57873, than apply into the LCM equation.

GCF(57864,57873) = 3
LCM(57864,57873) = ( 57864 × 57873) / 3
LCM(57864,57873) = 3348763272 / 3
LCM(57864,57873) = 1116254424

Least Common Multiple (LCM) of 57864 and 57873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57864 and 57873. First we will calculate the prime factors of 57864 and 57873.

Prime Factorization of 57864

Prime Factorization of 57873

Now multiplying the highest exponent prime factors to calculate the LCM of 57864 and 57873.

LCM(57864,57873) = 2³ × 3¹ × 2411¹ × 101¹ × 191¹
LCM(57864,57873) = 1116254424