What is the Least Common Multiple of 31188 and 31199?

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 31188 and 31199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31188 and 31199, than apply into the LCM equation.

GCF(31188,31199) = 1
LCM(31188,31199) = ( 31188 × 31199) / 1
LCM(31188,31199) = 973034412 / 1
LCM(31188,31199) = 973034412

Least Common Multiple (LCM) of 31188 and 31199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31188 and 31199. First we will calculate the prime factors of 31188 and 31199.

Prime Factorization of 31188

Prime Factorization of 31199

Now multiplying the highest exponent prime factors to calculate the LCM of 31188 and 31199.

LCM(31188,31199) = 2² × 3¹ × 23¹ × 113¹ × 7¹ × 4457¹
LCM(31188,31199) = 973034412