What is the Least Common Multiple of 22878 and 22894?

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 22878 and 22894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22878 and 22894, than apply into the LCM equation.

GCF(22878,22894) = 2
LCM(22878,22894) = ( 22878 × 22894) / 2
LCM(22878,22894) = 523768932 / 2
LCM(22878,22894) = 261884466

Least Common Multiple (LCM) of 22878 and 22894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22878 and 22894. First we will calculate the prime factors of 22878 and 22894.

Prime Factorization of 22878

Prime Factorization of 22894

Now multiplying the highest exponent prime factors to calculate the LCM of 22878 and 22894.

LCM(22878,22894) = 2¹ × 3² × 31¹ × 41¹ × 11447¹
LCM(22878,22894) = 261884466