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What is the Least Common Multiple of 12186 and 12191?

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 12186 and 12191 is 148559526.

LCM(12186,12191) = 148559526

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Least Common Multiple of 12186 and 12191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12186 and 12191, than apply into the LCM equation.

GCF(12186,12191) = 1
LCM(12186,12191) = ( 12186 × 12191) / 1
LCM(12186,12191) = 148559526 / 1
LCM(12186,12191) = 148559526

Least Common Multiple (LCM) of 12186 and 12191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12186 and 12191. First we will calculate the prime factors of 12186 and 12191.

Prime Factorization of 12186

Prime factors of 12186 are 2, 3, 677. Prime factorization of 12186 in exponential form is:

12186 = 21 × 32 × 6771

Prime Factorization of 12191

Prime factors of 12191 are 73, 167. Prime factorization of 12191 in exponential form is:

12191 = 731 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 12186 and 12191.

LCM(12186,12191) = 21 × 32 × 6771 × 731 × 1671
LCM(12186,12191) = 148559526