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What is the Least Common Multiple of 11578 and 11589?

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 11578 and 11589 is 134177442.

LCM(11578,11589) = 134177442

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Least Common Multiple of 11578 and 11589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11578 and 11589, than apply into the LCM equation.

GCF(11578,11589) = 1
LCM(11578,11589) = ( 11578 × 11589) / 1
LCM(11578,11589) = 134177442 / 1
LCM(11578,11589) = 134177442

Least Common Multiple (LCM) of 11578 and 11589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11578 and 11589. First we will calculate the prime factors of 11578 and 11589.

Prime Factorization of 11578

Prime factors of 11578 are 2, 7, 827. Prime factorization of 11578 in exponential form is:

11578 = 21 × 71 × 8271

Prime Factorization of 11589

Prime factors of 11589 are 3, 3863. Prime factorization of 11589 in exponential form is:

11589 = 31 × 38631

Now multiplying the highest exponent prime factors to calculate the LCM of 11578 and 11589.

LCM(11578,11589) = 21 × 71 × 8271 × 31 × 38631
LCM(11578,11589) = 134177442