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What is the Least Common Multiple of 18793 and 18811?

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 18793 and 18811 is 353515123.

LCM(18793,18811) = 353515123

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Least Common Multiple of 18793 and 18811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18793 and 18811, than apply into the LCM equation.

GCF(18793,18811) = 1
LCM(18793,18811) = ( 18793 × 18811) / 1
LCM(18793,18811) = 353515123 / 1
LCM(18793,18811) = 353515123

Least Common Multiple (LCM) of 18793 and 18811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18793 and 18811. First we will calculate the prime factors of 18793 and 18811.

Prime Factorization of 18793

Prime factors of 18793 are 18793. Prime factorization of 18793 in exponential form is:

18793 = 187931

Prime Factorization of 18811

Prime factors of 18811 are 13, 1447. Prime factorization of 18811 in exponential form is:

18811 = 131 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 18793 and 18811.

LCM(18793,18811) = 187931 × 131 × 14471
LCM(18793,18811) = 353515123