What is the Least Common Multiple of 18007 and 18025?

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 18007 and 18025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18007 and 18025, than apply into the LCM equation.

GCF(18007,18025) = 1
LCM(18007,18025) = ( 18007 × 18025) / 1
LCM(18007,18025) = 324576175 / 1
LCM(18007,18025) = 324576175

Least Common Multiple (LCM) of 18007 and 18025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18007 and 18025. First we will calculate the prime factors of 18007 and 18025.

Prime Factorization of 18007

Prime Factorization of 18025

Now multiplying the highest exponent prime factors to calculate the LCM of 18007 and 18025.

LCM(18007,18025) = 11¹ × 1637¹ × 5² × 7¹ × 103¹
LCM(18007,18025) = 324576175