What is the Least Common Multiple of 31170 and 31189?

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 31170 and 31189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31170 and 31189, than apply into the LCM equation.

GCF(31170,31189) = 1
LCM(31170,31189) = ( 31170 × 31189) / 1
LCM(31170,31189) = 972161130 / 1
LCM(31170,31189) = 972161130

Least Common Multiple (LCM) of 31170 and 31189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31170 and 31189. First we will calculate the prime factors of 31170 and 31189.

Prime Factorization of 31170

Prime Factorization of 31189

Now multiplying the highest exponent prime factors to calculate the LCM of 31170 and 31189.

LCM(31170,31189) = 2¹ × 3¹ × 5¹ × 1039¹ × 31189¹
LCM(31170,31189) = 972161130