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What is the Least Common Multiple of 18294 and 18299?

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 18294 and 18299 is 334761906.

LCM(18294,18299) = 334761906

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Least Common Multiple of 18294 and 18299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18294 and 18299, than apply into the LCM equation.

GCF(18294,18299) = 1
LCM(18294,18299) = ( 18294 × 18299) / 1
LCM(18294,18299) = 334761906 / 1
LCM(18294,18299) = 334761906

Least Common Multiple (LCM) of 18294 and 18299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18294 and 18299. First we will calculate the prime factors of 18294 and 18299.

Prime Factorization of 18294

Prime factors of 18294 are 2, 3, 3049. Prime factorization of 18294 in exponential form is:

18294 = 21 × 31 × 30491

Prime Factorization of 18299

Prime factors of 18299 are 29, 631. Prime factorization of 18299 in exponential form is:

18299 = 291 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 18294 and 18299.

LCM(18294,18299) = 21 × 31 × 30491 × 291 × 6311
LCM(18294,18299) = 334761906