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What is the Least Common Multiple of 12184 and 12189?

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 12184 and 12189 is 148510776.

LCM(12184,12189) = 148510776

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Least Common Multiple of 12184 and 12189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12184 and 12189, than apply into the LCM equation.

GCF(12184,12189) = 1
LCM(12184,12189) = ( 12184 × 12189) / 1
LCM(12184,12189) = 148510776 / 1
LCM(12184,12189) = 148510776

Least Common Multiple (LCM) of 12184 and 12189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12184 and 12189. First we will calculate the prime factors of 12184 and 12189.

Prime Factorization of 12184

Prime factors of 12184 are 2, 1523. Prime factorization of 12184 in exponential form is:

12184 = 23 × 15231

Prime Factorization of 12189

Prime factors of 12189 are 3, 17, 239. Prime factorization of 12189 in exponential form is:

12189 = 31 × 171 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 12184 and 12189.

LCM(12184,12189) = 23 × 15231 × 31 × 171 × 2391
LCM(12184,12189) = 148510776