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What is the Least Common Multiple of 12085 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 12085 and 12095 is 29233615.

LCM(12085,12095) = 29233615

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Least Common Multiple of 12085 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 12085 and 12095, than apply into the LCM equation.

GCF(12085,12095) = 5
LCM(12085,12095) = ( 12085 × 12095) / 5
LCM(12085,12095) = 146168075 / 5
LCM(12085,12095) = 29233615

Least Common Multiple (LCM) of 12085 and 12095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12085 and 12095. First we will calculate the prime factors of 12085 and 12095.

Prime Factorization of 12085

Prime factors of 12085 are 5, 2417. Prime factorization of 12085 in exponential form is:

12085 = 51 × 24171

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 12085 and 12095.

LCM(12085,12095) = 51 × 24171 × 411 × 591
LCM(12085,12095) = 29233615