What is the Least Common Multiple of 24120 and 24133?

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 24120 and 24133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24120 and 24133, than apply into the LCM equation.

GCF(24120,24133) = 1
LCM(24120,24133) = ( 24120 × 24133) / 1
LCM(24120,24133) = 582087960 / 1
LCM(24120,24133) = 582087960

Least Common Multiple (LCM) of 24120 and 24133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24120 and 24133. First we will calculate the prime factors of 24120 and 24133.

Prime Factorization of 24120

Prime Factorization of 24133

Now multiplying the highest exponent prime factors to calculate the LCM of 24120 and 24133.

LCM(24120,24133) = 2³ × 3² × 5¹ × 67¹ × 24133¹
LCM(24120,24133) = 582087960