What is the Least Common Multiple of 92824 and 92838?

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 92824 and 92838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92824 and 92838, than apply into the LCM equation.

GCF(92824,92838) = 2
LCM(92824,92838) = ( 92824 × 92838) / 2
LCM(92824,92838) = 8617594512 / 2
LCM(92824,92838) = 4308797256

Least Common Multiple (LCM) of 92824 and 92838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92824 and 92838. First we will calculate the prime factors of 92824 and 92838.

Prime Factorization of 92824

Prime Factorization of 92838

Now multiplying the highest exponent prime factors to calculate the LCM of 92824 and 92838.

LCM(92824,92838) = 2³ × 41¹ × 283¹ × 3¹ × 15473¹
LCM(92824,92838) = 4308797256