What is the Least Common Multiple of 21309 and 21321?

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 21309 and 21321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21309 and 21321, than apply into the LCM equation.

GCF(21309,21321) = 3
LCM(21309,21321) = ( 21309 × 21321) / 3
LCM(21309,21321) = 454329189 / 3
LCM(21309,21321) = 151443063

Least Common Multiple (LCM) of 21309 and 21321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21309 and 21321. First we will calculate the prime factors of 21309 and 21321.

Prime Factorization of 21309

Prime Factorization of 21321

Now multiplying the highest exponent prime factors to calculate the LCM of 21309 and 21321.

LCM(21309,21321) = 3² × 7103¹ × 23¹ × 103¹
LCM(21309,21321) = 151443063