What is the Least Common Multiple of 13308 and 13314?

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 13308 and 13314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13308 and 13314, than apply into the LCM equation.

GCF(13308,13314) = 6
LCM(13308,13314) = ( 13308 × 13314) / 6
LCM(13308,13314) = 177182712 / 6
LCM(13308,13314) = 29530452

Least Common Multiple (LCM) of 13308 and 13314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13308 and 13314. First we will calculate the prime factors of 13308 and 13314.

Prime Factorization of 13308

Prime Factorization of 13314

Now multiplying the highest exponent prime factors to calculate the LCM of 13308 and 13314.

LCM(13308,13314) = 2² × 3¹ × 1109¹ × 7¹ × 317¹
LCM(13308,13314) = 29530452