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What is the Least Common Multiple of 18899 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 18899 and 18908 is 357342292.

LCM(18899,18908) = 357342292

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Least Common Multiple of 18899 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 18899 and 18908, than apply into the LCM equation.

GCF(18899,18908) = 1
LCM(18899,18908) = ( 18899 × 18908) / 1
LCM(18899,18908) = 357342292 / 1
LCM(18899,18908) = 357342292

Least Common Multiple (LCM) of 18899 and 18908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18899 and 18908. First we will calculate the prime factors of 18899 and 18908.

Prime Factorization of 18899

Prime factors of 18899 are 18899. Prime factorization of 18899 in exponential form is:

18899 = 188991

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 18899 and 18908.

LCM(18899,18908) = 188991 × 22 × 291 × 1631
LCM(18899,18908) = 357342292