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What is the Least Common Multiple of 18014 and 18018?

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 18018 is 162288126.

LCM(18014,18018) = 162288126

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Least Common Multiple of 18014 and 18018 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 18018, than apply into the LCM equation.

GCF(18014,18018) = 2
LCM(18014,18018) = ( 18014 × 18018) / 2
LCM(18014,18018) = 324576252 / 2
LCM(18014,18018) = 162288126

Least Common Multiple (LCM) of 18014 and 18018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18014 and 18018. First we will calculate the prime factors of 18014 and 18018.

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 18018

Prime factors of 18018 are 2, 3, 7, 11, 13. Prime factorization of 18018 in exponential form is:

18018 = 21 × 32 × 71 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 18014 and 18018.

LCM(18014,18018) = 21 × 90071 × 32 × 71 × 111 × 131
LCM(18014,18018) = 162288126