What is the Least Common Multiple of 13209 and 13226?

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 13226 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 13226, than apply into the LCM equation.

GCF(13209,13226) = 17
LCM(13209,13226) = ( 13209 × 13226) / 17
LCM(13209,13226) = 174702234 / 17
LCM(13209,13226) = 10276602

Least Common Multiple (LCM) of 13209 and 13226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13209 and 13226. First we will calculate the prime factors of 13209 and 13226.

Prime Factorization of 13209

Prime Factorization of 13226

Now multiplying the highest exponent prime factors to calculate the LCM of 13209 and 13226.

LCM(13209,13226) = 3¹ × 7¹ × 17¹ × 37¹ × 2¹ × 389¹
LCM(13209,13226) = 10276602