What is the Least Common Multiple of 31329 and 31347?

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 31329 and 31347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31329 and 31347, than apply into the LCM equation.

GCF(31329,31347) = 9
LCM(31329,31347) = ( 31329 × 31347) / 9
LCM(31329,31347) = 982070163 / 9
LCM(31329,31347) = 109118907

Least Common Multiple (LCM) of 31329 and 31347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31329 and 31347. First we will calculate the prime factors of 31329 and 31347.

Prime Factorization of 31329

Prime Factorization of 31347

Now multiplying the highest exponent prime factors to calculate the LCM of 31329 and 31347.

LCM(31329,31347) = 3⁶ × 59² × 43¹
LCM(31329,31347) = 109118907