What is the Least Common Multiple of 31146 and 31165?

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 31146 and 31165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31146 and 31165, than apply into the LCM equation.

GCF(31146,31165) = 1
LCM(31146,31165) = ( 31146 × 31165) / 1
LCM(31146,31165) = 970665090 / 1
LCM(31146,31165) = 970665090

Least Common Multiple (LCM) of 31146 and 31165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31146 and 31165. First we will calculate the prime factors of 31146 and 31165.

Prime Factorization of 31146

Prime Factorization of 31165

Now multiplying the highest exponent prime factors to calculate the LCM of 31146 and 31165.

LCM(31146,31165) = 2¹ × 3¹ × 29¹ × 179¹ × 5¹ × 23¹ × 271¹
LCM(31146,31165) = 970665090