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What is the Least Common Multiple of 11579 and 11591?

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 11579 and 11591 is 134212189.

LCM(11579,11591) = 134212189

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Least Common Multiple of 11579 and 11591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11579 and 11591, than apply into the LCM equation.

GCF(11579,11591) = 1
LCM(11579,11591) = ( 11579 × 11591) / 1
LCM(11579,11591) = 134212189 / 1
LCM(11579,11591) = 134212189

Least Common Multiple (LCM) of 11579 and 11591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11579 and 11591. First we will calculate the prime factors of 11579 and 11591.

Prime Factorization of 11579

Prime factors of 11579 are 11579. Prime factorization of 11579 in exponential form is:

11579 = 115791

Prime Factorization of 11591

Prime factors of 11591 are 67, 173. Prime factorization of 11591 in exponential form is:

11591 = 671 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 11579 and 11591.

LCM(11579,11591) = 115791 × 671 × 1731
LCM(11579,11591) = 134212189