What is the Least Common Multiple of 18006 and 18026?

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 18006 and 18026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18006 and 18026, than apply into the LCM equation.

GCF(18006,18026) = 2
LCM(18006,18026) = ( 18006 × 18026) / 2
LCM(18006,18026) = 324576156 / 2
LCM(18006,18026) = 162288078

Least Common Multiple (LCM) of 18006 and 18026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18006 and 18026. First we will calculate the prime factors of 18006 and 18026.

Prime Factorization of 18006

Prime Factorization of 18026

Now multiplying the highest exponent prime factors to calculate the LCM of 18006 and 18026.

LCM(18006,18026) = 2¹ × 3¹ × 3001¹ × 9013¹
LCM(18006,18026) = 162288078