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What is the Least Common Multiple of 13385 and 13401?

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 13385 and 13401 is 179372385.

LCM(13385,13401) = 179372385

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Least Common Multiple of 13385 and 13401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13385 and 13401, than apply into the LCM equation.

GCF(13385,13401) = 1
LCM(13385,13401) = ( 13385 × 13401) / 1
LCM(13385,13401) = 179372385 / 1
LCM(13385,13401) = 179372385

Least Common Multiple (LCM) of 13385 and 13401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13385 and 13401. First we will calculate the prime factors of 13385 and 13401.

Prime Factorization of 13385

Prime factors of 13385 are 5, 2677. Prime factorization of 13385 in exponential form is:

13385 = 51 × 26771

Prime Factorization of 13401

Prime factors of 13401 are 3, 1489. Prime factorization of 13401 in exponential form is:

13401 = 32 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 13385 and 13401.

LCM(13385,13401) = 51 × 26771 × 32 × 14891
LCM(13385,13401) = 179372385