What is the Least Common Multiple of 13311 and 13328?

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 13311 and 13328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13311 and 13328, than apply into the LCM equation.

GCF(13311,13328) = 17
LCM(13311,13328) = ( 13311 × 13328) / 17
LCM(13311,13328) = 177409008 / 17
LCM(13311,13328) = 10435824

Least Common Multiple (LCM) of 13311 and 13328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13311 and 13328. First we will calculate the prime factors of 13311 and 13328.

Prime Factorization of 13311

Prime Factorization of 13328

Now multiplying the highest exponent prime factors to calculate the LCM of 13311 and 13328.

LCM(13311,13328) = 3³ × 17¹ × 29¹ × 2⁴ × 7²
LCM(13311,13328) = 10435824