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What is the Least Common Multiple of 18135 and 18153?

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 18135 and 18153 is 36578295.

LCM(18135,18153) = 36578295

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Least Common Multiple of 18135 and 18153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18135 and 18153, than apply into the LCM equation.

GCF(18135,18153) = 9
LCM(18135,18153) = ( 18135 × 18153) / 9
LCM(18135,18153) = 329204655 / 9
LCM(18135,18153) = 36578295

Least Common Multiple (LCM) of 18135 and 18153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18135 and 18153. First we will calculate the prime factors of 18135 and 18153.

Prime Factorization of 18135

Prime factors of 18135 are 3, 5, 13, 31. Prime factorization of 18135 in exponential form is:

18135 = 32 × 51 × 131 × 311

Prime Factorization of 18153

Prime factors of 18153 are 3, 2017. Prime factorization of 18153 in exponential form is:

18153 = 32 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 18135 and 18153.

LCM(18135,18153) = 32 × 51 × 131 × 311 × 20171
LCM(18135,18153) = 36578295