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What is the Least Common Multiple of 29590 and 29594?

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 29590 and 29594 is 437843230.

LCM(29590,29594) = 437843230

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Least Common Multiple of 29590 and 29594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29590 and 29594, than apply into the LCM equation.

GCF(29590,29594) = 2
LCM(29590,29594) = ( 29590 × 29594) / 2
LCM(29590,29594) = 875686460 / 2
LCM(29590,29594) = 437843230

Least Common Multiple (LCM) of 29590 and 29594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29590 and 29594. First we will calculate the prime factors of 29590 and 29594.

Prime Factorization of 29590

Prime factors of 29590 are 2, 5, 11, 269. Prime factorization of 29590 in exponential form is:

29590 = 21 × 51 × 111 × 2691

Prime Factorization of 29594

Prime factors of 29594 are 2, 14797. Prime factorization of 29594 in exponential form is:

29594 = 21 × 147971

Now multiplying the highest exponent prime factors to calculate the LCM of 29590 and 29594.

LCM(29590,29594) = 21 × 51 × 111 × 2691 × 147971
LCM(29590,29594) = 437843230