What is the Least Common Multiple of 15824 and 15838?

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 15824 and 15838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15824 and 15838, than apply into the LCM equation.

GCF(15824,15838) = 2
LCM(15824,15838) = ( 15824 × 15838) / 2
LCM(15824,15838) = 250620512 / 2
LCM(15824,15838) = 125310256

Least Common Multiple (LCM) of 15824 and 15838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15824 and 15838. First we will calculate the prime factors of 15824 and 15838.

Prime Factorization of 15824

Prime Factorization of 15838

Now multiplying the highest exponent prime factors to calculate the LCM of 15824 and 15838.

LCM(15824,15838) = 2⁴ × 23¹ × 43¹ × 7919¹
LCM(15824,15838) = 125310256