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What is the Least Common Multiple of 12084 and 12095?

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 12084 and 12095 is 146155980.

LCM(12084,12095) = 146155980

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Least Common Multiple of 12084 and 12095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12084 and 12095, than apply into the LCM equation.

GCF(12084,12095) = 1
LCM(12084,12095) = ( 12084 × 12095) / 1
LCM(12084,12095) = 146155980 / 1
LCM(12084,12095) = 146155980

Least Common Multiple (LCM) of 12084 and 12095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12084 and 12095. First we will calculate the prime factors of 12084 and 12095.

Prime Factorization of 12084

Prime factors of 12084 are 2, 3, 19, 53. Prime factorization of 12084 in exponential form is:

12084 = 22 × 31 × 191 × 531

Prime Factorization of 12095

Prime factors of 12095 are 5, 41, 59. Prime factorization of 12095 in exponential form is:

12095 = 51 × 411 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 12084 and 12095.

LCM(12084,12095) = 22 × 31 × 191 × 531 × 51 × 411 × 591
LCM(12084,12095) = 146155980