What is the Least Common Multiple of 6015 and 6024?

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 6015 and 6024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6015 and 6024, than apply into the LCM equation.

GCF(6015,6024) = 3
LCM(6015,6024) = ( 6015 × 6024) / 3
LCM(6015,6024) = 36234360 / 3
LCM(6015,6024) = 12078120

Least Common Multiple (LCM) of 6015 and 6024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6015 and 6024. First we will calculate the prime factors of 6015 and 6024.

Prime Factorization of 6015

Prime Factorization of 6024

Now multiplying the highest exponent prime factors to calculate the LCM of 6015 and 6024.

LCM(6015,6024) = 3¹ × 5¹ × 401¹ × 2³ × 251¹
LCM(6015,6024) = 12078120