What is the Least Common Multiple of 31165 and 31171?

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 31165 and 31171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31165 and 31171, than apply into the LCM equation.

GCF(31165,31171) = 1
LCM(31165,31171) = ( 31165 × 31171) / 1
LCM(31165,31171) = 971444215 / 1
LCM(31165,31171) = 971444215

Least Common Multiple (LCM) of 31165 and 31171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31165 and 31171. First we will calculate the prime factors of 31165 and 31171.

Prime Factorization of 31165

Prime Factorization of 31171

Now multiplying the highest exponent prime factors to calculate the LCM of 31165 and 31171.

LCM(31165,31171) = 5¹ × 23¹ × 271¹ × 7¹ × 61¹ × 73¹
LCM(31165,31171) = 971444215