What is the Least Common Multiple of 31797 and 31812?

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 31797 and 31812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31797 and 31812, than apply into the LCM equation.

GCF(31797,31812) = 3
LCM(31797,31812) = ( 31797 × 31812) / 3
LCM(31797,31812) = 1011526164 / 3
LCM(31797,31812) = 337175388

Least Common Multiple (LCM) of 31797 and 31812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31797 and 31812. First we will calculate the prime factors of 31797 and 31812.

Prime Factorization of 31797

Prime Factorization of 31812

Now multiplying the highest exponent prime factors to calculate the LCM of 31797 and 31812.

LCM(31797,31812) = 3² × 3533¹ × 2² × 11¹ × 241¹
LCM(31797,31812) = 337175388