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What is the Least Common Multiple of 18198 and 18205?

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 18198 and 18205 is 331294590.

LCM(18198,18205) = 331294590

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Least Common Multiple of 18198 and 18205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18198 and 18205, than apply into the LCM equation.

GCF(18198,18205) = 1
LCM(18198,18205) = ( 18198 × 18205) / 1
LCM(18198,18205) = 331294590 / 1
LCM(18198,18205) = 331294590

Least Common Multiple (LCM) of 18198 and 18205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18198 and 18205. First we will calculate the prime factors of 18198 and 18205.

Prime Factorization of 18198

Prime factors of 18198 are 2, 3, 337. Prime factorization of 18198 in exponential form is:

18198 = 21 × 33 × 3371

Prime Factorization of 18205

Prime factors of 18205 are 5, 11, 331. Prime factorization of 18205 in exponential form is:

18205 = 51 × 111 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 18198 and 18205.

LCM(18198,18205) = 21 × 33 × 3371 × 51 × 111 × 3311
LCM(18198,18205) = 331294590