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What is the Least Common Multiple of 18299 and 18312?

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 18299 and 18312 is 335091288.

LCM(18299,18312) = 335091288

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Least Common Multiple of 18299 and 18312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18299 and 18312, than apply into the LCM equation.

GCF(18299,18312) = 1
LCM(18299,18312) = ( 18299 × 18312) / 1
LCM(18299,18312) = 335091288 / 1
LCM(18299,18312) = 335091288

Least Common Multiple (LCM) of 18299 and 18312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18299 and 18312. First we will calculate the prime factors of 18299 and 18312.

Prime Factorization of 18299

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

18299 = 291 × 6311

Prime Factorization of 18312

Prime factors of 18312 are 2, 3, 7, 109. Prime factorization of 18312 in exponential form is:

18312 = 23 × 31 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 18299 and 18312.

LCM(18299,18312) = 291 × 6311 × 23 × 31 × 71 × 1091
LCM(18299,18312) = 335091288