What is the Least Common Multiple of 22864 and 22878?

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 22864 and 22878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22864 and 22878, than apply into the LCM equation.

GCF(22864,22878) = 2
LCM(22864,22878) = ( 22864 × 22878) / 2
LCM(22864,22878) = 523082592 / 2
LCM(22864,22878) = 261541296

Least Common Multiple (LCM) of 22864 and 22878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22864 and 22878. First we will calculate the prime factors of 22864 and 22878.

Prime Factorization of 22864

Prime Factorization of 22878

Now multiplying the highest exponent prime factors to calculate the LCM of 22864 and 22878.

LCM(22864,22878) = 2⁴ × 1429¹ × 3² × 31¹ × 41¹
LCM(22864,22878) = 261541296