What is the Least Common Multiple of 18023 and 18043?

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 18043 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 18043, than apply into the LCM equation.

GCF(18023,18043) = 1
LCM(18023,18043) = ( 18023 × 18043) / 1
LCM(18023,18043) = 325188989 / 1
LCM(18023,18043) = 325188989

Least Common Multiple (LCM) of 18023 and 18043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18023 and 18043. First we will calculate the prime factors of 18023 and 18043.

Prime Factorization of 18023

Prime Factorization of 18043

Now multiplying the highest exponent prime factors to calculate the LCM of 18023 and 18043.

LCM(18023,18043) = 67¹ × 269¹ × 18043¹
LCM(18023,18043) = 325188989