What is the Least Common Multiple of 31314 and 31329?

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 31314 and 31329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31314 and 31329, than apply into the LCM equation.

GCF(31314,31329) = 3
LCM(31314,31329) = ( 31314 × 31329) / 3
LCM(31314,31329) = 981036306 / 3
LCM(31314,31329) = 327012102

Least Common Multiple (LCM) of 31314 and 31329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31314 and 31329. First we will calculate the prime factors of 31314 and 31329.

Prime Factorization of 31314

Prime Factorization of 31329

Now multiplying the highest exponent prime factors to calculate the LCM of 31314 and 31329.

LCM(31314,31329) = 2¹ × 3² × 17¹ × 307¹ × 59²
LCM(31314,31329) = 327012102