What is the Least Common Multiple of 2864 and 2878?

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 2864 and 2878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2864 and 2878, than apply into the LCM equation.

GCF(2864,2878) = 2
LCM(2864,2878) = ( 2864 × 2878) / 2
LCM(2864,2878) = 8242592 / 2
LCM(2864,2878) = 4121296

Least Common Multiple (LCM) of 2864 and 2878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2864 and 2878. First we will calculate the prime factors of 2864 and 2878.

Prime Factorization of 2864

Prime Factorization of 2878

Now multiplying the highest exponent prime factors to calculate the LCM of 2864 and 2878.

LCM(2864,2878) = 2⁴ × 179¹ × 1439¹
LCM(2864,2878) = 4121296