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What is the Least Common Multiple of 18904 and 18913?

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 18904 and 18913 is 357531352.

LCM(18904,18913) = 357531352

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Least Common Multiple of 18904 and 18913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18904 and 18913, than apply into the LCM equation.

GCF(18904,18913) = 1
LCM(18904,18913) = ( 18904 × 18913) / 1
LCM(18904,18913) = 357531352 / 1
LCM(18904,18913) = 357531352

Least Common Multiple (LCM) of 18904 and 18913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18904 and 18913. First we will calculate the prime factors of 18904 and 18913.

Prime Factorization of 18904

Prime factors of 18904 are 2, 17, 139. Prime factorization of 18904 in exponential form is:

18904 = 23 × 171 × 1391

Prime Factorization of 18913

Prime factors of 18913 are 18913. Prime factorization of 18913 in exponential form is:

18913 = 189131

Now multiplying the highest exponent prime factors to calculate the LCM of 18904 and 18913.

LCM(18904,18913) = 23 × 171 × 1391 × 189131
LCM(18904,18913) = 357531352