What is the Least Common Multiple of 12024 and 12030?

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 12024 and 12030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12024 and 12030, than apply into the LCM equation.

GCF(12024,12030) = 6
LCM(12024,12030) = ( 12024 × 12030) / 6
LCM(12024,12030) = 144648720 / 6
LCM(12024,12030) = 24108120

Least Common Multiple (LCM) of 12024 and 12030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12024 and 12030. First we will calculate the prime factors of 12024 and 12030.

Prime Factorization of 12024

Prime Factorization of 12030

Now multiplying the highest exponent prime factors to calculate the LCM of 12024 and 12030.

LCM(12024,12030) = 2³ × 3² × 167¹ × 5¹ × 401¹
LCM(12024,12030) = 24108120