What is the Least Common Multiple of 24904 and 24911?

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 24904 and 24911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24904 and 24911, than apply into the LCM equation.

GCF(24904,24911) = 1
LCM(24904,24911) = ( 24904 × 24911) / 1
LCM(24904,24911) = 620383544 / 1
LCM(24904,24911) = 620383544

Least Common Multiple (LCM) of 24904 and 24911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24904 and 24911. First we will calculate the prime factors of 24904 and 24911.

Prime Factorization of 24904

Prime Factorization of 24911

Now multiplying the highest exponent prime factors to calculate the LCM of 24904 and 24911.

LCM(24904,24911) = 2³ × 11¹ × 283¹ × 29¹ × 859¹
LCM(24904,24911) = 620383544