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What is the Least Common Multiple of 13004 and 13011?

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 13004 and 13011 is 169195044.

LCM(13004,13011) = 169195044

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Least Common Multiple of 13004 and 13011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13004 and 13011, than apply into the LCM equation.

GCF(13004,13011) = 1
LCM(13004,13011) = ( 13004 × 13011) / 1
LCM(13004,13011) = 169195044 / 1
LCM(13004,13011) = 169195044

Least Common Multiple (LCM) of 13004 and 13011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13004 and 13011. First we will calculate the prime factors of 13004 and 13011.

Prime Factorization of 13004

Prime factors of 13004 are 2, 3251. Prime factorization of 13004 in exponential form is:

13004 = 22 × 32511

Prime Factorization of 13011

Prime factors of 13011 are 3, 4337. Prime factorization of 13011 in exponential form is:

13011 = 31 × 43371

Now multiplying the highest exponent prime factors to calculate the LCM of 13004 and 13011.

LCM(13004,13011) = 22 × 32511 × 31 × 43371
LCM(13004,13011) = 169195044