What is the Least Common Multiple of 41268 and 41286?

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 41268 and 41286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41268 and 41286, than apply into the LCM equation.

GCF(41268,41286) = 6
LCM(41268,41286) = ( 41268 × 41286) / 6
LCM(41268,41286) = 1703790648 / 6
LCM(41268,41286) = 283965108

Least Common Multiple (LCM) of 41268 and 41286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41268 and 41286. First we will calculate the prime factors of 41268 and 41286.

Prime Factorization of 41268

Prime Factorization of 41286

Now multiplying the highest exponent prime factors to calculate the LCM of 41268 and 41286.

LCM(41268,41286) = 2² × 3¹ × 19¹ × 181¹ × 7¹ × 983¹
LCM(41268,41286) = 283965108