What is the Least Common Multiple of 24030 and 24045?

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 24030 and 24045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24030 and 24045, than apply into the LCM equation.

GCF(24030,24045) = 15
LCM(24030,24045) = ( 24030 × 24045) / 15
LCM(24030,24045) = 577801350 / 15
LCM(24030,24045) = 38520090

Least Common Multiple (LCM) of 24030 and 24045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24030 and 24045. First we will calculate the prime factors of 24030 and 24045.

Prime Factorization of 24030

Prime Factorization of 24045

Now multiplying the highest exponent prime factors to calculate the LCM of 24030 and 24045.

LCM(24030,24045) = 2¹ × 3³ × 5¹ × 89¹ × 7¹ × 229¹
LCM(24030,24045) = 38520090