What is the Least Common Multiple of 21888 and 21894?

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 21888 and 21894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21888 and 21894, than apply into the LCM equation.

GCF(21888,21894) = 6
LCM(21888,21894) = ( 21888 × 21894) / 6
LCM(21888,21894) = 479215872 / 6
LCM(21888,21894) = 79869312

Least Common Multiple (LCM) of 21888 and 21894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21888 and 21894. First we will calculate the prime factors of 21888 and 21894.

Prime Factorization of 21888

Prime Factorization of 21894

Now multiplying the highest exponent prime factors to calculate the LCM of 21888 and 21894.

LCM(21888,21894) = 2⁷ × 3² × 19¹ × 41¹ × 89¹
LCM(21888,21894) = 79869312