What is the Least Common Multiple of 36072 and 36087?

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 36072 and 36087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36072 and 36087, than apply into the LCM equation.

GCF(36072,36087) = 3
LCM(36072,36087) = ( 36072 × 36087) / 3
LCM(36072,36087) = 1301730264 / 3
LCM(36072,36087) = 433910088

Least Common Multiple (LCM) of 36072 and 36087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36072 and 36087. First we will calculate the prime factors of 36072 and 36087.

Prime Factorization of 36072

Prime Factorization of 36087

Now multiplying the highest exponent prime factors to calculate the LCM of 36072 and 36087.

LCM(36072,36087) = 2³ × 3³ × 167¹ × 23¹ × 523¹
LCM(36072,36087) = 433910088