What is the Least Common Multiple of 41824 and 41838?

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 41824 and 41838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41824 and 41838, than apply into the LCM equation.

GCF(41824,41838) = 2
LCM(41824,41838) = ( 41824 × 41838) / 2
LCM(41824,41838) = 1749832512 / 2
LCM(41824,41838) = 874916256

Least Common Multiple (LCM) of 41824 and 41838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41824 and 41838. First we will calculate the prime factors of 41824 and 41838.

Prime Factorization of 41824

Prime Factorization of 41838

Now multiplying the highest exponent prime factors to calculate the LCM of 41824 and 41838.

LCM(41824,41838) = 2⁵ × 1307¹ × 3¹ × 19¹ × 367¹
LCM(41824,41838) = 874916256