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What is the Least Common Multiple of 29389 and 29404?

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 29389 and 29404 is 864154156.

LCM(29389,29404) = 864154156

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Least Common Multiple of 29389 and 29404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29389 and 29404, than apply into the LCM equation.

GCF(29389,29404) = 1
LCM(29389,29404) = ( 29389 × 29404) / 1
LCM(29389,29404) = 864154156 / 1
LCM(29389,29404) = 864154156

Least Common Multiple (LCM) of 29389 and 29404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29389 and 29404. First we will calculate the prime factors of 29389 and 29404.

Prime Factorization of 29389

Prime factors of 29389 are 29389. Prime factorization of 29389 in exponential form is:

29389 = 293891

Prime Factorization of 29404

Prime factors of 29404 are 2, 7351. Prime factorization of 29404 in exponential form is:

29404 = 22 × 73511

Now multiplying the highest exponent prime factors to calculate the LCM of 29389 and 29404.

LCM(29389,29404) = 293891 × 22 × 73511
LCM(29389,29404) = 864154156