What is the Least Common Multiple of 13209 and 13215?

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 13209 and 13215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13209 and 13215, than apply into the LCM equation.

GCF(13209,13215) = 3
LCM(13209,13215) = ( 13209 × 13215) / 3
LCM(13209,13215) = 174556935 / 3
LCM(13209,13215) = 58185645

Least Common Multiple (LCM) of 13209 and 13215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13209 and 13215. First we will calculate the prime factors of 13209 and 13215.

Prime Factorization of 13209

Prime Factorization of 13215

Now multiplying the highest exponent prime factors to calculate the LCM of 13209 and 13215.

LCM(13209,13215) = 3¹ × 7¹ × 17¹ × 37¹ × 5¹ × 881¹
LCM(13209,13215) = 58185645