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What is the Least Common Multiple of 13385 and 13405?

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 13405 is 35885185.

LCM(13385,13405) = 35885185

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Least Common Multiple of 13385 and 13405 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 13405, than apply into the LCM equation.

GCF(13385,13405) = 5
LCM(13385,13405) = ( 13385 × 13405) / 5
LCM(13385,13405) = 179425925 / 5
LCM(13385,13405) = 35885185

Least Common Multiple (LCM) of 13385 and 13405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13385 and 13405. First we will calculate the prime factors of 13385 and 13405.

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 13405

Prime factors of 13405 are 5, 7, 383. Prime factorization of 13405 in exponential form is:

13405 = 51 × 71 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 13385 and 13405.

LCM(13385,13405) = 51 × 26771 × 71 × 3831
LCM(13385,13405) = 35885185