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What is the Least Common Multiple of 12085 and 12091?

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 12091 is 146119735.

LCM(12085,12091) = 146119735

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Least Common Multiple of 12085 and 12091 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 12091, than apply into the LCM equation.

GCF(12085,12091) = 1
LCM(12085,12091) = ( 12085 × 12091) / 1
LCM(12085,12091) = 146119735 / 1
LCM(12085,12091) = 146119735

Least Common Multiple (LCM) of 12085 and 12091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12085 and 12091. First we will calculate the prime factors of 12085 and 12091.

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 12091

Prime factors of 12091 are 107, 113. Prime factorization of 12091 in exponential form is:

12091 = 1071 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 12085 and 12091.

LCM(12085,12091) = 51 × 24171 × 1071 × 1131
LCM(12085,12091) = 146119735