What is the Least Common Multiple of 21894 and 21899?

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 21894 and 21899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21894 and 21899, than apply into the LCM equation.

GCF(21894,21899) = 1
LCM(21894,21899) = ( 21894 × 21899) / 1
LCM(21894,21899) = 479456706 / 1
LCM(21894,21899) = 479456706

Least Common Multiple (LCM) of 21894 and 21899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21894 and 21899. First we will calculate the prime factors of 21894 and 21899.

Prime Factorization of 21894

Prime Factorization of 21899

Now multiplying the highest exponent prime factors to calculate the LCM of 21894 and 21899.

LCM(21894,21899) = 2¹ × 3¹ × 41¹ × 89¹ × 61¹ × 359¹
LCM(21894,21899) = 479456706