GCF and LCM Calculator Logo

What is the Least Common Multiple of 13008 and 13018?

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 (LCM) of 13008 and 13018 is 84669072.

LCM(13008,13018) = 84669072

LCM Calculator and
and

Least Common Multiple of 13008 and 13018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13008 and 13018, than apply into the LCM equation.

GCF(13008,13018) = 2
LCM(13008,13018) = ( 13008 × 13018) / 2
LCM(13008,13018) = 169338144 / 2
LCM(13008,13018) = 84669072

Least Common Multiple (LCM) of 13008 and 13018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13008 and 13018. First we will calculate the prime factors of 13008 and 13018.

Prime Factorization of 13008

Prime factors of 13008 are 2, 3, 271. Prime factorization of 13008 in exponential form is:

13008 = 24 × 31 × 2711

Prime Factorization of 13018

Prime factors of 13018 are 2, 23, 283. Prime factorization of 13018 in exponential form is:

13018 = 21 × 231 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 13008 and 13018.

LCM(13008,13018) = 24 × 31 × 2711 × 231 × 2831
LCM(13008,13018) = 84669072