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What is the Least Common Multiple of 12179 and 12185?

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 12179 and 12185 is 148401115.

LCM(12179,12185) = 148401115

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Least Common Multiple of 12179 and 12185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12179 and 12185, than apply into the LCM equation.

GCF(12179,12185) = 1
LCM(12179,12185) = ( 12179 × 12185) / 1
LCM(12179,12185) = 148401115 / 1
LCM(12179,12185) = 148401115

Least Common Multiple (LCM) of 12179 and 12185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12179 and 12185. First we will calculate the prime factors of 12179 and 12185.

Prime Factorization of 12179

Prime factors of 12179 are 19, 641. Prime factorization of 12179 in exponential form is:

12179 = 191 × 6411

Prime Factorization of 12185

Prime factors of 12185 are 5, 2437. Prime factorization of 12185 in exponential form is:

12185 = 51 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 12179 and 12185.

LCM(12179,12185) = 191 × 6411 × 51 × 24371
LCM(12179,12185) = 148401115