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What is the Least Common Multiple of 18333 and 18349?

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 18333 and 18349 is 336392217.

LCM(18333,18349) = 336392217

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Least Common Multiple of 18333 and 18349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18333 and 18349, than apply into the LCM equation.

GCF(18333,18349) = 1
LCM(18333,18349) = ( 18333 × 18349) / 1
LCM(18333,18349) = 336392217 / 1
LCM(18333,18349) = 336392217

Least Common Multiple (LCM) of 18333 and 18349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18333 and 18349. First we will calculate the prime factors of 18333 and 18349.

Prime Factorization of 18333

Prime factors of 18333 are 3, 7, 97. Prime factorization of 18333 in exponential form is:

18333 = 33 × 71 × 971

Prime Factorization of 18349

Prime factors of 18349 are 59, 311. Prime factorization of 18349 in exponential form is:

18349 = 591 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 18333 and 18349.

LCM(18333,18349) = 33 × 71 × 971 × 591 × 3111
LCM(18333,18349) = 336392217