What is the Least Common Multiple of 21285 and 21294?

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 21285 and 21294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21285 and 21294, than apply into the LCM equation.

GCF(21285,21294) = 9
LCM(21285,21294) = ( 21285 × 21294) / 9
LCM(21285,21294) = 453242790 / 9
LCM(21285,21294) = 50360310

Least Common Multiple (LCM) of 21285 and 21294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21285 and 21294. First we will calculate the prime factors of 21285 and 21294.

Prime Factorization of 21285

Prime Factorization of 21294

Now multiplying the highest exponent prime factors to calculate the LCM of 21285 and 21294.

LCM(21285,21294) = 3² × 5¹ × 11¹ × 43¹ × 2¹ × 7¹ × 13²
LCM(21285,21294) = 50360310