What is the Least Common Multiple of 24030 and 24040?

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 24040 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 24040, than apply into the LCM equation.

GCF(24030,24040) = 10
LCM(24030,24040) = ( 24030 × 24040) / 10
LCM(24030,24040) = 577681200 / 10
LCM(24030,24040) = 57768120

Least Common Multiple (LCM) of 24030 and 24040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24030 and 24040. First we will calculate the prime factors of 24030 and 24040.

Prime Factorization of 24030

Prime Factorization of 24040

Now multiplying the highest exponent prime factors to calculate the LCM of 24030 and 24040.

LCM(24030,24040) = 2³ × 3³ × 5¹ × 89¹ × 601¹
LCM(24030,24040) = 57768120