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What is the Least Common Multiple of 18314 and 18329?

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 18314 and 18329 is 335677306.

LCM(18314,18329) = 335677306

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Least Common Multiple of 18314 and 18329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18314 and 18329, than apply into the LCM equation.

GCF(18314,18329) = 1
LCM(18314,18329) = ( 18314 × 18329) / 1
LCM(18314,18329) = 335677306 / 1
LCM(18314,18329) = 335677306

Least Common Multiple (LCM) of 18314 and 18329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18314 and 18329. First we will calculate the prime factors of 18314 and 18329.

Prime Factorization of 18314

Prime factors of 18314 are 2, 9157. Prime factorization of 18314 in exponential form is:

18314 = 21 × 91571

Prime Factorization of 18329

Prime factors of 18329 are 18329. Prime factorization of 18329 in exponential form is:

18329 = 183291

Now multiplying the highest exponent prime factors to calculate the LCM of 18314 and 18329.

LCM(18314,18329) = 21 × 91571 × 183291
LCM(18314,18329) = 335677306