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What is the Least Common Multiple of 18893 and 18908?

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 18893 and 18908 is 357228844.

LCM(18893,18908) = 357228844

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Least Common Multiple of 18893 and 18908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18893 and 18908, than apply into the LCM equation.

GCF(18893,18908) = 1
LCM(18893,18908) = ( 18893 × 18908) / 1
LCM(18893,18908) = 357228844 / 1
LCM(18893,18908) = 357228844

Least Common Multiple (LCM) of 18893 and 18908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18893 and 18908. First we will calculate the prime factors of 18893 and 18908.

Prime Factorization of 18893

Prime factors of 18893 are 7, 2699. Prime factorization of 18893 in exponential form is:

18893 = 71 × 26991

Prime Factorization of 18908

Prime factors of 18908 are 2, 29, 163. Prime factorization of 18908 in exponential form is:

18908 = 22 × 291 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 18893 and 18908.

LCM(18893,18908) = 71 × 26991 × 22 × 291 × 1631
LCM(18893,18908) = 357228844