What is the Least Common Multiple of 24080 and 24093?

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 24080 and 24093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24080 and 24093, than apply into the LCM equation.

GCF(24080,24093) = 1
LCM(24080,24093) = ( 24080 × 24093) / 1
LCM(24080,24093) = 580159440 / 1
LCM(24080,24093) = 580159440

Least Common Multiple (LCM) of 24080 and 24093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24080 and 24093. First we will calculate the prime factors of 24080 and 24093.

Prime Factorization of 24080

Prime Factorization of 24093

Now multiplying the highest exponent prime factors to calculate the LCM of 24080 and 24093.

LCM(24080,24093) = 2⁴ × 5¹ × 7¹ × 43¹ × 3² × 2677¹
LCM(24080,24093) = 580159440