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What is the Least Common Multiple of 13904 and 13908?

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 13904 and 13908 is 48344208.

LCM(13904,13908) = 48344208

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Least Common Multiple of 13904 and 13908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13904 and 13908, than apply into the LCM equation.

GCF(13904,13908) = 4
LCM(13904,13908) = ( 13904 × 13908) / 4
LCM(13904,13908) = 193376832 / 4
LCM(13904,13908) = 48344208

Least Common Multiple (LCM) of 13904 and 13908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13904 and 13908. First we will calculate the prime factors of 13904 and 13908.

Prime Factorization of 13904

Prime factors of 13904 are 2, 11, 79. Prime factorization of 13904 in exponential form is:

13904 = 24 × 111 × 791

Prime Factorization of 13908

Prime factors of 13908 are 2, 3, 19, 61. Prime factorization of 13908 in exponential form is:

13908 = 22 × 31 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 13904 and 13908.

LCM(13904,13908) = 24 × 111 × 791 × 31 × 191 × 611
LCM(13904,13908) = 48344208