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What is the Least Common Multiple of 29578 and 29589?

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 29578 and 29589 is 875183442.

LCM(29578,29589) = 875183442

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Least Common Multiple of 29578 and 29589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29578 and 29589, than apply into the LCM equation.

GCF(29578,29589) = 1
LCM(29578,29589) = ( 29578 × 29589) / 1
LCM(29578,29589) = 875183442 / 1
LCM(29578,29589) = 875183442

Least Common Multiple (LCM) of 29578 and 29589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29578 and 29589. First we will calculate the prime factors of 29578 and 29589.

Prime Factorization of 29578

Prime factors of 29578 are 2, 23, 643. Prime factorization of 29578 in exponential form is:

29578 = 21 × 231 × 6431

Prime Factorization of 29589

Prime factors of 29589 are 3, 7, 1409. Prime factorization of 29589 in exponential form is:

29589 = 31 × 71 × 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 29578 and 29589.

LCM(29578,29589) = 21 × 231 × 6431 × 31 × 71 × 14091
LCM(29578,29589) = 875183442