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What is the Least Common Multiple of 18138 and 18155?

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 18138 and 18155 is 329295390.

LCM(18138,18155) = 329295390

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Least Common Multiple of 18138 and 18155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18138 and 18155, than apply into the LCM equation.

GCF(18138,18155) = 1
LCM(18138,18155) = ( 18138 × 18155) / 1
LCM(18138,18155) = 329295390 / 1
LCM(18138,18155) = 329295390

Least Common Multiple (LCM) of 18138 and 18155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18138 and 18155. First we will calculate the prime factors of 18138 and 18155.

Prime Factorization of 18138

Prime factors of 18138 are 2, 3, 3023. Prime factorization of 18138 in exponential form is:

18138 = 21 × 31 × 30231

Prime Factorization of 18155

Prime factors of 18155 are 5, 3631. Prime factorization of 18155 in exponential form is:

18155 = 51 × 36311

Now multiplying the highest exponent prime factors to calculate the LCM of 18138 and 18155.

LCM(18138,18155) = 21 × 31 × 30231 × 51 × 36311
LCM(18138,18155) = 329295390