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What is the Least Common Multiple of 18207 and 18226?

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 18207 and 18226 is 331840782.

LCM(18207,18226) = 331840782

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Least Common Multiple of 18207 and 18226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18207 and 18226, than apply into the LCM equation.

GCF(18207,18226) = 1
LCM(18207,18226) = ( 18207 × 18226) / 1
LCM(18207,18226) = 331840782 / 1
LCM(18207,18226) = 331840782

Least Common Multiple (LCM) of 18207 and 18226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18207 and 18226. First we will calculate the prime factors of 18207 and 18226.

Prime Factorization of 18207

Prime factors of 18207 are 3, 7, 17. Prime factorization of 18207 in exponential form is:

18207 = 32 × 71 × 172

Prime Factorization of 18226

Prime factors of 18226 are 2, 13, 701. Prime factorization of 18226 in exponential form is:

18226 = 21 × 131 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 18207 and 18226.

LCM(18207,18226) = 32 × 71 × 172 × 21 × 131 × 7011
LCM(18207,18226) = 331840782