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What is the Least Common Multiple of 27896 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 27896 and 27908 is 194630392.

LCM(27896,27908) = 194630392

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Least Common Multiple of 27896 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 27896 and 27908, than apply into the LCM equation.

GCF(27896,27908) = 4
LCM(27896,27908) = ( 27896 × 27908) / 4
LCM(27896,27908) = 778521568 / 4
LCM(27896,27908) = 194630392

Least Common Multiple (LCM) of 27896 and 27908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27896 and 27908. First we will calculate the prime factors of 27896 and 27908.

Prime Factorization of 27896

Prime factors of 27896 are 2, 11, 317. Prime factorization of 27896 in exponential form is:

27896 = 23 × 111 × 3171

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 27896 and 27908.

LCM(27896,27908) = 23 × 111 × 3171 × 69771
LCM(27896,27908) = 194630392