What is the Least Common Multiple of 15006 and 15024?

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 15006 and 15024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15006 and 15024, than apply into the LCM equation.

GCF(15006,15024) = 6
LCM(15006,15024) = ( 15006 × 15024) / 6
LCM(15006,15024) = 225450144 / 6
LCM(15006,15024) = 37575024

Least Common Multiple (LCM) of 15006 and 15024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15006 and 15024. First we will calculate the prime factors of 15006 and 15024.

Prime Factorization of 15006

Prime Factorization of 15024

Now multiplying the highest exponent prime factors to calculate the LCM of 15006 and 15024.

LCM(15006,15024) = 2⁴ × 3¹ × 41¹ × 61¹ × 313¹
LCM(15006,15024) = 37575024