What is the Least Common Multiple of 18003 and 18018?

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 18003 and 18018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18003 and 18018, than apply into the LCM equation.

GCF(18003,18018) = 3
LCM(18003,18018) = ( 18003 × 18018) / 3
LCM(18003,18018) = 324378054 / 3
LCM(18003,18018) = 108126018

Least Common Multiple (LCM) of 18003 and 18018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18003 and 18018. First we will calculate the prime factors of 18003 and 18018.

Prime Factorization of 18003

Prime Factorization of 18018

Now multiplying the highest exponent prime factors to calculate the LCM of 18003 and 18018.

LCM(18003,18018) = 3² × 17¹ × 353¹ × 2¹ × 7¹ × 11¹ × 13¹
LCM(18003,18018) = 108126018