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What is the Least Common Multiple of 18009 and 18014?

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 18014 is 324414126.

LCM(18009,18014) = 324414126

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Least Common Multiple of 18009 and 18014 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 18014, than apply into the LCM equation.

GCF(18009,18014) = 1
LCM(18009,18014) = ( 18009 × 18014) / 1
LCM(18009,18014) = 324414126 / 1
LCM(18009,18014) = 324414126

Least Common Multiple (LCM) of 18009 and 18014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18009 and 18014. First we will calculate the prime factors of 18009 and 18014.

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 18014

Prime factors of 18014 are 2, 9007. Prime factorization of 18014 in exponential form is:

18014 = 21 × 90071

Now multiplying the highest exponent prime factors to calculate the LCM of 18009 and 18014.

LCM(18009,18014) = 33 × 231 × 291 × 21 × 90071
LCM(18009,18014) = 324414126