What is the Least Common Multiple of 18008 and 18019?

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 18008 and 18019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18008 and 18019, than apply into the LCM equation.

GCF(18008,18019) = 1
LCM(18008,18019) = ( 18008 × 18019) / 1
LCM(18008,18019) = 324486152 / 1
LCM(18008,18019) = 324486152

Least Common Multiple (LCM) of 18008 and 18019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18008 and 18019. First we will calculate the prime factors of 18008 and 18019.

Prime Factorization of 18008

Prime Factorization of 18019

Now multiplying the highest exponent prime factors to calculate the LCM of 18008 and 18019.

LCM(18008,18019) = 2³ × 2251¹ × 37¹ × 487¹
LCM(18008,18019) = 324486152