What is the Least Common Multiple of 13209 and 13224?

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 13224 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 13224, than apply into the LCM equation.

GCF(13209,13224) = 3
LCM(13209,13224) = ( 13209 × 13224) / 3
LCM(13209,13224) = 174675816 / 3
LCM(13209,13224) = 58225272

Least Common Multiple (LCM) of 13209 and 13224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13209 and 13224. First we will calculate the prime factors of 13209 and 13224.

Prime Factorization of 13209

Prime Factorization of 13224

Now multiplying the highest exponent prime factors to calculate the LCM of 13209 and 13224.

LCM(13209,13224) = 3¹ × 7¹ × 17¹ × 37¹ × 2³ × 19¹ × 29¹
LCM(13209,13224) = 58225272