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What is the Least Common Multiple of 27904 and 27908?

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 27904 and 27908 is 194686208.

LCM(27904,27908) = 194686208

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Least Common Multiple of 27904 and 27908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27904 and 27908, than apply into the LCM equation.

GCF(27904,27908) = 4
LCM(27904,27908) = ( 27904 × 27908) / 4
LCM(27904,27908) = 778744832 / 4
LCM(27904,27908) = 194686208

Least Common Multiple (LCM) of 27904 and 27908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27904 and 27908. First we will calculate the prime factors of 27904 and 27908.

Prime Factorization of 27904

Prime factors of 27904 are 2, 109. Prime factorization of 27904 in exponential form is:

27904 = 28 × 1091

Prime Factorization of 27908

Prime factors of 27908 are 2, 6977. Prime factorization of 27908 in exponential form is:

27908 = 22 × 69771

Now multiplying the highest exponent prime factors to calculate the LCM of 27904 and 27908.

LCM(27904,27908) = 28 × 1091 × 69771
LCM(27904,27908) = 194686208