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What is the Least Common Multiple of 18014 and 18027?

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 18014 and 18027 is 324738378.

LCM(18014,18027) = 324738378

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Least Common Multiple of 18014 and 18027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18014 and 18027, than apply into the LCM equation.

GCF(18014,18027) = 1
LCM(18014,18027) = ( 18014 × 18027) / 1
LCM(18014,18027) = 324738378 / 1
LCM(18014,18027) = 324738378

Least Common Multiple (LCM) of 18014 and 18027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18014 and 18027. First we will calculate the prime factors of 18014 and 18027.

Prime Factorization of 18014

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

18014 = 21 × 90071

Prime Factorization of 18027

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

18027 = 32 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 18014 and 18027.

LCM(18014,18027) = 21 × 90071 × 32 × 20031
LCM(18014,18027) = 324738378