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What is the Least Common Multiple of 13388 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 13388 and 13408 is 44876576.

LCM(13388,13408) = 44876576

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Least Common Multiple of 13388 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 13388 and 13408, than apply into the LCM equation.

GCF(13388,13408) = 4
LCM(13388,13408) = ( 13388 × 13408) / 4
LCM(13388,13408) = 179506304 / 4
LCM(13388,13408) = 44876576

Least Common Multiple (LCM) of 13388 and 13408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13388 and 13408. First we will calculate the prime factors of 13388 and 13408.

Prime Factorization of 13388

Prime factors of 13388 are 2, 3347. Prime factorization of 13388 in exponential form is:

13388 = 22 × 33471

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 13388 and 13408.

LCM(13388,13408) = 25 × 33471 × 4191
LCM(13388,13408) = 44876576