What is the Least Common Multiple of 13209 and 13229?

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 13229 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 13229, than apply into the LCM equation.

GCF(13209,13229) = 1
LCM(13209,13229) = ( 13209 × 13229) / 1
LCM(13209,13229) = 174741861 / 1
LCM(13209,13229) = 174741861

Least Common Multiple (LCM) of 13209 and 13229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13209 and 13229. First we will calculate the prime factors of 13209 and 13229.

Prime Factorization of 13209

Prime Factorization of 13229

Now multiplying the highest exponent prime factors to calculate the LCM of 13209 and 13229.

LCM(13209,13229) = 3¹ × 7¹ × 17¹ × 37¹ × 13229¹
LCM(13209,13229) = 174741861