What is the Least Common Multiple of 21303 and 21309?

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 21303 and 21309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21303 and 21309, than apply into the LCM equation.

GCF(21303,21309) = 3
LCM(21303,21309) = ( 21303 × 21309) / 3
LCM(21303,21309) = 453945627 / 3
LCM(21303,21309) = 151315209

Least Common Multiple (LCM) of 21303 and 21309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21303 and 21309. First we will calculate the prime factors of 21303 and 21309.

Prime Factorization of 21303

Prime Factorization of 21309

Now multiplying the highest exponent prime factors to calculate the LCM of 21303 and 21309.

LCM(21303,21309) = 3⁴ × 263¹ × 7103¹
LCM(21303,21309) = 151315209