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What is the Least Common Multiple of 18896 and 18903?

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 18896 and 18903 is 357191088.

LCM(18896,18903) = 357191088

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Least Common Multiple of 18896 and 18903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18896 and 18903, than apply into the LCM equation.

GCF(18896,18903) = 1
LCM(18896,18903) = ( 18896 × 18903) / 1
LCM(18896,18903) = 357191088 / 1
LCM(18896,18903) = 357191088

Least Common Multiple (LCM) of 18896 and 18903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18896 and 18903. First we will calculate the prime factors of 18896 and 18903.

Prime Factorization of 18896

Prime factors of 18896 are 2, 1181. Prime factorization of 18896 in exponential form is:

18896 = 24 × 11811

Prime Factorization of 18903

Prime factors of 18903 are 3, 6301. Prime factorization of 18903 in exponential form is:

18903 = 31 × 63011

Now multiplying the highest exponent prime factors to calculate the LCM of 18896 and 18903.

LCM(18896,18903) = 24 × 11811 × 31 × 63011
LCM(18896,18903) = 357191088