What is the Least Common Multiple of 31075 and 31089?

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 31075 and 31089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31075 and 31089, than apply into the LCM equation.

GCF(31075,31089) = 1
LCM(31075,31089) = ( 31075 × 31089) / 1
LCM(31075,31089) = 966090675 / 1
LCM(31075,31089) = 966090675

Least Common Multiple (LCM) of 31075 and 31089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31075 and 31089. First we will calculate the prime factors of 31075 and 31089.

Prime Factorization of 31075

Prime Factorization of 31089

Now multiplying the highest exponent prime factors to calculate the LCM of 31075 and 31089.

LCM(31075,31089) = 5² × 11¹ × 113¹ × 3¹ × 43¹ × 241¹
LCM(31075,31089) = 966090675