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What is the Least Common Multiple of 18027 and 18047?

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 18027 and 18047 is 325333269.

LCM(18027,18047) = 325333269

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Least Common Multiple of 18027 and 18047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18027 and 18047, than apply into the LCM equation.

GCF(18027,18047) = 1
LCM(18027,18047) = ( 18027 × 18047) / 1
LCM(18027,18047) = 325333269 / 1
LCM(18027,18047) = 325333269

Least Common Multiple (LCM) of 18027 and 18047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18027 and 18047. First we will calculate the prime factors of 18027 and 18047.

Prime Factorization of 18027

Prime factors of 18027 are 3, 2003. Prime factorization of 18027 in exponential form is:

18027 = 32 × 20031

Prime Factorization of 18047

Prime factors of 18047 are 18047. Prime factorization of 18047 in exponential form is:

18047 = 180471

Now multiplying the highest exponent prime factors to calculate the LCM of 18027 and 18047.

LCM(18027,18047) = 32 × 20031 × 180471
LCM(18027,18047) = 325333269