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What is the Least Common Multiple of 18009 and 18026?

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 18009 and 18026 is 324630234.

LCM(18009,18026) = 324630234

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Least Common Multiple of 18009 and 18026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18009 and 18026, than apply into the LCM equation.

GCF(18009,18026) = 1
LCM(18009,18026) = ( 18009 × 18026) / 1
LCM(18009,18026) = 324630234 / 1
LCM(18009,18026) = 324630234

Least Common Multiple (LCM) of 18009 and 18026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18009 and 18026. First we will calculate the prime factors of 18009 and 18026.

Prime Factorization of 18009

Prime factors of 18009 are 3, 23, 29. Prime factorization of 18009 in exponential form is:

18009 = 33 × 231 × 291

Prime Factorization of 18026

Prime factors of 18026 are 2, 9013. Prime factorization of 18026 in exponential form is:

18026 = 21 × 90131

Now multiplying the highest exponent prime factors to calculate the LCM of 18009 and 18026.

LCM(18009,18026) = 33 × 231 × 291 × 21 × 90131
LCM(18009,18026) = 324630234