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What is the Least Common Multiple of 11665 and 11683?

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 11665 and 11683 is 136282195.

LCM(11665,11683) = 136282195

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Least Common Multiple of 11665 and 11683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11665 and 11683, than apply into the LCM equation.

GCF(11665,11683) = 1
LCM(11665,11683) = ( 11665 × 11683) / 1
LCM(11665,11683) = 136282195 / 1
LCM(11665,11683) = 136282195

Least Common Multiple (LCM) of 11665 and 11683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11665 and 11683. First we will calculate the prime factors of 11665 and 11683.

Prime Factorization of 11665

Prime factors of 11665 are 5, 2333. Prime factorization of 11665 in exponential form is:

11665 = 51 × 23331

Prime Factorization of 11683

Prime factors of 11683 are 7, 1669. Prime factorization of 11683 in exponential form is:

11683 = 71 × 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 11665 and 11683.

LCM(11665,11683) = 51 × 23331 × 71 × 16691
LCM(11665,11683) = 136282195