What is the Least Common Multiple of 41158 and 41171?

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 41158 and 41171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41158 and 41171, than apply into the LCM equation.

GCF(41158,41171) = 13
LCM(41158,41171) = ( 41158 × 41171) / 13
LCM(41158,41171) = 1694516018 / 13
LCM(41158,41171) = 130347386

Least Common Multiple (LCM) of 41158 and 41171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41158 and 41171. First we will calculate the prime factors of 41158 and 41171.

Prime Factorization of 41158

Prime Factorization of 41171

Now multiplying the highest exponent prime factors to calculate the LCM of 41158 and 41171.

LCM(41158,41171) = 2¹ × 13¹ × 1583¹ × 3167¹
LCM(41158,41171) = 130347386