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What is the Least Common Multiple of 13376 and 13389?

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 13376 and 13389 is 179091264.

LCM(13376,13389) = 179091264

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Least Common Multiple of 13376 and 13389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13376 and 13389, than apply into the LCM equation.

GCF(13376,13389) = 1
LCM(13376,13389) = ( 13376 × 13389) / 1
LCM(13376,13389) = 179091264 / 1
LCM(13376,13389) = 179091264

Least Common Multiple (LCM) of 13376 and 13389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13376 and 13389. First we will calculate the prime factors of 13376 and 13389.

Prime Factorization of 13376

Prime factors of 13376 are 2, 11, 19. Prime factorization of 13376 in exponential form is:

13376 = 26 × 111 × 191

Prime Factorization of 13389

Prime factors of 13389 are 3, 4463. Prime factorization of 13389 in exponential form is:

13389 = 31 × 44631

Now multiplying the highest exponent prime factors to calculate the LCM of 13376 and 13389.

LCM(13376,13389) = 26 × 111 × 191 × 31 × 44631
LCM(13376,13389) = 179091264