What is the Least Common Multiple of 24012 and 24030?

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 24012 and 24030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24012 and 24030, than apply into the LCM equation.

GCF(24012,24030) = 18
LCM(24012,24030) = ( 24012 × 24030) / 18
LCM(24012,24030) = 577008360 / 18
LCM(24012,24030) = 32056020

Least Common Multiple (LCM) of 24012 and 24030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24012 and 24030. First we will calculate the prime factors of 24012 and 24030.

Prime Factorization of 24012

Prime Factorization of 24030

Now multiplying the highest exponent prime factors to calculate the LCM of 24012 and 24030.

LCM(24012,24030) = 2² × 3³ × 23¹ × 29¹ × 5¹ × 89¹
LCM(24012,24030) = 32056020