What is the Least Common Multiple of 41138 and 41158?

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 41138 and 41158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41138 and 41158, than apply into the LCM equation.

GCF(41138,41158) = 2
LCM(41138,41158) = ( 41138 × 41158) / 2
LCM(41138,41158) = 1693157804 / 2
LCM(41138,41158) = 846578902

Least Common Multiple (LCM) of 41138 and 41158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41138 and 41158. First we will calculate the prime factors of 41138 and 41158.

Prime Factorization of 41138

Prime Factorization of 41158

Now multiplying the highest exponent prime factors to calculate the LCM of 41138 and 41158.

LCM(41138,41158) = 2¹ × 67¹ × 307¹ × 13¹ × 1583¹
LCM(41138,41158) = 846578902