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What is the Least Common Multiple of 18123 and 18141?

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 18123 and 18141 is 109589781.

LCM(18123,18141) = 109589781

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Least Common Multiple of 18123 and 18141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18123 and 18141, than apply into the LCM equation.

GCF(18123,18141) = 3
LCM(18123,18141) = ( 18123 × 18141) / 3
LCM(18123,18141) = 328769343 / 3
LCM(18123,18141) = 109589781

Least Common Multiple (LCM) of 18123 and 18141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18123 and 18141. First we will calculate the prime factors of 18123 and 18141.

Prime Factorization of 18123

Prime factors of 18123 are 3, 7, 863. Prime factorization of 18123 in exponential form is:

18123 = 31 × 71 × 8631

Prime Factorization of 18141

Prime factors of 18141 are 3, 6047. Prime factorization of 18141 in exponential form is:

18141 = 31 × 60471

Now multiplying the highest exponent prime factors to calculate the LCM of 18123 and 18141.

LCM(18123,18141) = 31 × 71 × 8631 × 60471
LCM(18123,18141) = 109589781