What is the Least Common Multiple of 65824 and 65838?

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 65824 and 65838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65824 and 65838, than apply into the LCM equation.

GCF(65824,65838) = 2
LCM(65824,65838) = ( 65824 × 65838) / 2
LCM(65824,65838) = 4333720512 / 2
LCM(65824,65838) = 2166860256

Least Common Multiple (LCM) of 65824 and 65838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65824 and 65838. First we will calculate the prime factors of 65824 and 65838.

Prime Factorization of 65824

Prime Factorization of 65838

Now multiplying the highest exponent prime factors to calculate the LCM of 65824 and 65838.

LCM(65824,65838) = 2⁵ × 11² × 17¹ × 3¹ × 10973¹
LCM(65824,65838) = 2166860256