What is the Least Common Multiple of 6024 and 6030?

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 6024 and 6030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6024 and 6030, than apply into the LCM equation.

GCF(6024,6030) = 6
LCM(6024,6030) = ( 6024 × 6030) / 6
LCM(6024,6030) = 36324720 / 6
LCM(6024,6030) = 6054120

Least Common Multiple (LCM) of 6024 and 6030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6024 and 6030. First we will calculate the prime factors of 6024 and 6030.

Prime Factorization of 6024

Prime Factorization of 6030

Now multiplying the highest exponent prime factors to calculate the LCM of 6024 and 6030.

LCM(6024,6030) = 2³ × 3² × 251¹ × 5¹ × 67¹
LCM(6024,6030) = 6054120