GCF and LCM Calculator Logo

What is the Least Common Multiple of 13007 and 13020?

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 13007 and 13020 is 169351140.

LCM(13007,13020) = 169351140

LCM Calculator and
and

Least Common Multiple of 13007 and 13020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13007 and 13020, than apply into the LCM equation.

GCF(13007,13020) = 1
LCM(13007,13020) = ( 13007 × 13020) / 1
LCM(13007,13020) = 169351140 / 1
LCM(13007,13020) = 169351140

Least Common Multiple (LCM) of 13007 and 13020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13007 and 13020. First we will calculate the prime factors of 13007 and 13020.

Prime Factorization of 13007

Prime factors of 13007 are 13007. Prime factorization of 13007 in exponential form is:

13007 = 130071

Prime Factorization of 13020

Prime factors of 13020 are 2, 3, 5, 7, 31. Prime factorization of 13020 in exponential form is:

13020 = 22 × 31 × 51 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 13007 and 13020.

LCM(13007,13020) = 130071 × 22 × 31 × 51 × 71 × 311
LCM(13007,13020) = 169351140