What is the Least Common Multiple of 4864 and 4878?

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 4864 and 4878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4864 and 4878, than apply into the LCM equation.

GCF(4864,4878) = 2
LCM(4864,4878) = ( 4864 × 4878) / 2
LCM(4864,4878) = 23726592 / 2
LCM(4864,4878) = 11863296

Least Common Multiple (LCM) of 4864 and 4878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4864 and 4878. First we will calculate the prime factors of 4864 and 4878.

Prime Factorization of 4864

Prime Factorization of 4878

Now multiplying the highest exponent prime factors to calculate the LCM of 4864 and 4878.

LCM(4864,4878) = 2⁸ × 19¹ × 3² × 271¹
LCM(4864,4878) = 11863296