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What is the Least Common Multiple of 18013 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 18013 and 18018 is 324558234.

LCM(18013,18018) = 324558234

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Least Common Multiple of 18013 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 18013 and 18018, than apply into the LCM equation.

GCF(18013,18018) = 1
LCM(18013,18018) = ( 18013 × 18018) / 1
LCM(18013,18018) = 324558234 / 1
LCM(18013,18018) = 324558234

Least Common Multiple (LCM) of 18013 and 18018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18013 and 18018. First we will calculate the prime factors of 18013 and 18018.

Prime Factorization of 18013

Prime factors of 18013 are 18013. Prime factorization of 18013 in exponential form is:

18013 = 180131

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 18013 and 18018.

LCM(18013,18018) = 180131 × 21 × 32 × 71 × 111 × 131
LCM(18013,18018) = 324558234