What is the Least Common Multiple of 18023 and 18039?

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 18023 and 18039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18023 and 18039, than apply into the LCM equation.

GCF(18023,18039) = 1
LCM(18023,18039) = ( 18023 × 18039) / 1
LCM(18023,18039) = 325116897 / 1
LCM(18023,18039) = 325116897

Least Common Multiple (LCM) of 18023 and 18039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18023 and 18039. First we will calculate the prime factors of 18023 and 18039.

Prime Factorization of 18023

Prime Factorization of 18039

Now multiplying the highest exponent prime factors to calculate the LCM of 18023 and 18039.

LCM(18023,18039) = 67¹ × 269¹ × 3¹ × 7¹ × 859¹
LCM(18023,18039) = 325116897