What is the Least Common Multiple of 24075 and 24088?

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 24075 and 24088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24075 and 24088, than apply into the LCM equation.

GCF(24075,24088) = 1
LCM(24075,24088) = ( 24075 × 24088) / 1
LCM(24075,24088) = 579918600 / 1
LCM(24075,24088) = 579918600

Least Common Multiple (LCM) of 24075 and 24088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24075 and 24088. First we will calculate the prime factors of 24075 and 24088.

Prime Factorization of 24075

Prime Factorization of 24088

Now multiplying the highest exponent prime factors to calculate the LCM of 24075 and 24088.

LCM(24075,24088) = 3² × 5² × 107¹ × 2³ × 3011¹
LCM(24075,24088) = 579918600