What is the Least Common Multiple of 41839 and 41849?

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 41839 and 41849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41839 and 41849, than apply into the LCM equation.

GCF(41839,41849) = 1
LCM(41839,41849) = ( 41839 × 41849) / 1
LCM(41839,41849) = 1750920311 / 1
LCM(41839,41849) = 1750920311

Least Common Multiple (LCM) of 41839 and 41849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41839 and 41849. First we will calculate the prime factors of 41839 and 41849.

Prime Factorization of 41839

Prime Factorization of 41849

Now multiplying the highest exponent prime factors to calculate the LCM of 41839 and 41849.

LCM(41839,41849) = 7¹ × 43¹ × 139¹ × 41849¹
LCM(41839,41849) = 1750920311