What is the Least Common Multiple of 41346 and 41363?

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 41346 and 41363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41346 and 41363, than apply into the LCM equation.

GCF(41346,41363) = 1
LCM(41346,41363) = ( 41346 × 41363) / 1
LCM(41346,41363) = 1710194598 / 1
LCM(41346,41363) = 1710194598

Least Common Multiple (LCM) of 41346 and 41363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41346 and 41363. First we will calculate the prime factors of 41346 and 41363.

Prime Factorization of 41346

Prime Factorization of 41363

Now multiplying the highest exponent prime factors to calculate the LCM of 41346 and 41363.

LCM(41346,41363) = 2¹ × 3² × 2297¹ × 7¹ × 19¹ × 311¹
LCM(41346,41363) = 1710194598