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What is the Least Common Multiple of 11579 and 11598?

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 11598 is 134293242.

LCM(11579,11598) = 134293242

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Least Common Multiple of 11579 and 11598 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 11598, than apply into the LCM equation.

GCF(11579,11598) = 1
LCM(11579,11598) = ( 11579 × 11598) / 1
LCM(11579,11598) = 134293242 / 1
LCM(11579,11598) = 134293242

Least Common Multiple (LCM) of 11579 and 11598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11579 and 11598. First we will calculate the prime factors of 11579 and 11598.

Prime Factorization of 11579

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

11579 = 115791

Prime Factorization of 11598

Prime factors of 11598 are 2, 3, 1933. Prime factorization of 11598 in exponential form is:

11598 = 21 × 31 × 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 11579 and 11598.

LCM(11579,11598) = 115791 × 21 × 31 × 19331
LCM(11579,11598) = 134293242