What is the Least Common Multiple of 41138 and 41142?

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 41142 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 41142, than apply into the LCM equation.

GCF(41138,41142) = 2
LCM(41138,41142) = ( 41138 × 41142) / 2
LCM(41138,41142) = 1692499596 / 2
LCM(41138,41142) = 846249798

Least Common Multiple (LCM) of 41138 and 41142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41138 and 41142. First we will calculate the prime factors of 41138 and 41142.

Prime Factorization of 41138

Prime Factorization of 41142

Now multiplying the highest exponent prime factors to calculate the LCM of 41138 and 41142.

LCM(41138,41142) = 2¹ × 67¹ × 307¹ × 3¹ × 6857¹
LCM(41138,41142) = 846249798