What is the Least Common Multiple of 15824 and 15829?

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 15829 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 15829, than apply into the LCM equation.

GCF(15824,15829) = 1
LCM(15824,15829) = ( 15824 × 15829) / 1
LCM(15824,15829) = 250478096 / 1
LCM(15824,15829) = 250478096

Least Common Multiple (LCM) of 15824 and 15829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15824 and 15829. First we will calculate the prime factors of 15824 and 15829.

Prime Factorization of 15824

Prime Factorization of 15829

Now multiplying the highest exponent prime factors to calculate the LCM of 15824 and 15829.

LCM(15824,15829) = 2⁴ × 23¹ × 43¹ × 11¹ × 1439¹
LCM(15824,15829) = 250478096