What is the Least Common Multiple of 31089 and 31101?

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 31089 and 31101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31089 and 31101, than apply into the LCM equation.

GCF(31089,31101) = 3
LCM(31089,31101) = ( 31089 × 31101) / 3
LCM(31089,31101) = 966898989 / 3
LCM(31089,31101) = 322299663

Least Common Multiple (LCM) of 31089 and 31101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31089 and 31101. First we will calculate the prime factors of 31089 and 31101.

Prime Factorization of 31089

Prime Factorization of 31101

Now multiplying the highest exponent prime factors to calculate the LCM of 31089 and 31101.

LCM(31089,31101) = 3¹ × 43¹ × 241¹ × 7¹ × 1481¹
LCM(31089,31101) = 322299663