What is the Least Common Multiple of 1314 and 1329?

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 1314 and 1329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1314 and 1329, than apply into the LCM equation.

GCF(1314,1329) = 3
LCM(1314,1329) = ( 1314 × 1329) / 3
LCM(1314,1329) = 1746306 / 3
LCM(1314,1329) = 582102

Least Common Multiple (LCM) of 1314 and 1329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1314 and 1329. First we will calculate the prime factors of 1314 and 1329.

Prime Factorization of 1314

Prime Factorization of 1329

Now multiplying the highest exponent prime factors to calculate the LCM of 1314 and 1329.

LCM(1314,1329) = 2¹ × 3² × 73¹ × 443¹
LCM(1314,1329) = 582102