What is the Least Common Multiple of 41338 and 41354?

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 41338 and 41354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41338 and 41354, than apply into the LCM equation.

GCF(41338,41354) = 2
LCM(41338,41354) = ( 41338 × 41354) / 2
LCM(41338,41354) = 1709491652 / 2
LCM(41338,41354) = 854745826

Least Common Multiple (LCM) of 41338 and 41354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41338 and 41354. First we will calculate the prime factors of 41338 and 41354.

Prime Factorization of 41338

Prime Factorization of 41354

Now multiplying the highest exponent prime factors to calculate the LCM of 41338 and 41354.

LCM(41338,41354) = 2¹ × 11¹ × 1879¹ × 23¹ × 29¹ × 31¹
LCM(41338,41354) = 854745826