What is the Least Common Multiple of 36072 and 36089?

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 36089 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 36089, than apply into the LCM equation.

GCF(36072,36089) = 1
LCM(36072,36089) = ( 36072 × 36089) / 1
LCM(36072,36089) = 1301802408 / 1
LCM(36072,36089) = 1301802408

Least Common Multiple (LCM) of 36072 and 36089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36072 and 36089. First we will calculate the prime factors of 36072 and 36089.

Prime Factorization of 36072

Prime Factorization of 36089

Now multiplying the highest exponent prime factors to calculate the LCM of 36072 and 36089.

LCM(36072,36089) = 2³ × 3³ × 167¹ × 151¹ × 239¹
LCM(36072,36089) = 1301802408