What is the Least Common Multiple of 36006 and 36024?

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 36006 and 36024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36006 and 36024, than apply into the LCM equation.

GCF(36006,36024) = 6
LCM(36006,36024) = ( 36006 × 36024) / 6
LCM(36006,36024) = 1297080144 / 6
LCM(36006,36024) = 216180024

Least Common Multiple (LCM) of 36006 and 36024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36006 and 36024. First we will calculate the prime factors of 36006 and 36024.

Prime Factorization of 36006

Prime Factorization of 36024

Now multiplying the highest exponent prime factors to calculate the LCM of 36006 and 36024.

LCM(36006,36024) = 2³ × 3¹ × 17¹ × 353¹ × 19¹ × 79¹
LCM(36006,36024) = 216180024