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What is the Least Common Multiple of 13394 and 13408?

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 13394 and 13408 is 89793376.

LCM(13394,13408) = 89793376

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Least Common Multiple of 13394 and 13408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13394 and 13408, than apply into the LCM equation.

GCF(13394,13408) = 2
LCM(13394,13408) = ( 13394 × 13408) / 2
LCM(13394,13408) = 179586752 / 2
LCM(13394,13408) = 89793376

Least Common Multiple (LCM) of 13394 and 13408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13394 and 13408. First we will calculate the prime factors of 13394 and 13408.

Prime Factorization of 13394

Prime factors of 13394 are 2, 37, 181. Prime factorization of 13394 in exponential form is:

13394 = 21 × 371 × 1811

Prime Factorization of 13408

Prime factors of 13408 are 2, 419. Prime factorization of 13408 in exponential form is:

13408 = 25 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 13394 and 13408.

LCM(13394,13408) = 25 × 371 × 1811 × 4191
LCM(13394,13408) = 89793376