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What is the Least Common Multiple of 27171 and 27189?

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 27171 and 27189 is 82083591.

LCM(27171,27189) = 82083591

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Least Common Multiple of 27171 and 27189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27171 and 27189, than apply into the LCM equation.

GCF(27171,27189) = 9
LCM(27171,27189) = ( 27171 × 27189) / 9
LCM(27171,27189) = 738752319 / 9
LCM(27171,27189) = 82083591

Least Common Multiple (LCM) of 27171 and 27189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27171 and 27189. First we will calculate the prime factors of 27171 and 27189.

Prime Factorization of 27171

Prime factors of 27171 are 3, 3019. Prime factorization of 27171 in exponential form is:

27171 = 32 × 30191

Prime Factorization of 27189

Prime factors of 27189 are 3, 19, 53. Prime factorization of 27189 in exponential form is:

27189 = 33 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 27171 and 27189.

LCM(27171,27189) = 33 × 30191 × 191 × 531
LCM(27171,27189) = 82083591