What is the Least Common Multiple of 41138 and 41146?

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 41146 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 41146, than apply into the LCM equation.

GCF(41138,41146) = 2
LCM(41138,41146) = ( 41138 × 41146) / 2
LCM(41138,41146) = 1692664148 / 2
LCM(41138,41146) = 846332074

Least Common Multiple (LCM) of 41138 and 41146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41138 and 41146. First we will calculate the prime factors of 41138 and 41146.

Prime Factorization of 41138

Prime Factorization of 41146

Now multiplying the highest exponent prime factors to calculate the LCM of 41138 and 41146.

LCM(41138,41146) = 2¹ × 67¹ × 307¹ × 7¹ × 2939¹
LCM(41138,41146) = 846332074