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What is the Least Common Multiple of 14584 and 14594?

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 14584 and 14594 is 106419448.

LCM(14584,14594) = 106419448

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Least Common Multiple of 14584 and 14594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14584 and 14594, than apply into the LCM equation.

GCF(14584,14594) = 2
LCM(14584,14594) = ( 14584 × 14594) / 2
LCM(14584,14594) = 212838896 / 2
LCM(14584,14594) = 106419448

Least Common Multiple (LCM) of 14584 and 14594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14584 and 14594. First we will calculate the prime factors of 14584 and 14594.

Prime Factorization of 14584

Prime factors of 14584 are 2, 1823. Prime factorization of 14584 in exponential form is:

14584 = 23 × 18231

Prime Factorization of 14594

Prime factors of 14594 are 2, 7297. Prime factorization of 14594 in exponential form is:

14594 = 21 × 72971

Now multiplying the highest exponent prime factors to calculate the LCM of 14584 and 14594.

LCM(14584,14594) = 23 × 18231 × 72971
LCM(14584,14594) = 106419448