What is the Least Common Multiple of 13017 and 13026?

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 13017 and 13026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13017 and 13026, than apply into the LCM equation.

GCF(13017,13026) = 3
LCM(13017,13026) = ( 13017 × 13026) / 3
LCM(13017,13026) = 169559442 / 3
LCM(13017,13026) = 56519814

Least Common Multiple (LCM) of 13017 and 13026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13017 and 13026. First we will calculate the prime factors of 13017 and 13026.

Prime Factorization of 13017

Prime Factorization of 13026

Now multiplying the highest exponent prime factors to calculate the LCM of 13017 and 13026.

LCM(13017,13026) = 3¹ × 4339¹ × 2¹ × 13¹ × 167¹
LCM(13017,13026) = 56519814