What is the Least Common Multiple of 31812 and 31831?

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 31812 and 31831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31812 and 31831, than apply into the LCM equation.

GCF(31812,31831) = 1
LCM(31812,31831) = ( 31812 × 31831) / 1
LCM(31812,31831) = 1012607772 / 1
LCM(31812,31831) = 1012607772

Least Common Multiple (LCM) of 31812 and 31831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31812 and 31831. First we will calculate the prime factors of 31812 and 31831.

Prime Factorization of 31812

Prime Factorization of 31831

Now multiplying the highest exponent prime factors to calculate the LCM of 31812 and 31831.

LCM(31812,31831) = 2² × 3¹ × 11¹ × 241¹ × 139¹ × 229¹
LCM(31812,31831) = 1012607772