What is the Least Common Multiple of 51864 and 51873?

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 51864 and 51873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51864 and 51873, than apply into the LCM equation.

GCF(51864,51873) = 3
LCM(51864,51873) = ( 51864 × 51873) / 3
LCM(51864,51873) = 2690341272 / 3
LCM(51864,51873) = 896780424

Least Common Multiple (LCM) of 51864 and 51873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51864 and 51873. First we will calculate the prime factors of 51864 and 51873.

Prime Factorization of 51864

Prime Factorization of 51873

Now multiplying the highest exponent prime factors to calculate the LCM of 51864 and 51873.

LCM(51864,51873) = 2³ × 3¹ × 2161¹ × 17291¹
LCM(51864,51873) = 896780424