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What is the Least Common Multiple of 29584 and 29604?

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 29584 and 29604 is 218951184.

LCM(29584,29604) = 218951184

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Least Common Multiple of 29584 and 29604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29584 and 29604, than apply into the LCM equation.

GCF(29584,29604) = 4
LCM(29584,29604) = ( 29584 × 29604) / 4
LCM(29584,29604) = 875804736 / 4
LCM(29584,29604) = 218951184

Least Common Multiple (LCM) of 29584 and 29604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29584 and 29604. First we will calculate the prime factors of 29584 and 29604.

Prime Factorization of 29584

Prime factors of 29584 are 2, 43. Prime factorization of 29584 in exponential form is:

29584 = 24 × 432

Prime Factorization of 29604

Prime factors of 29604 are 2, 3, 2467. Prime factorization of 29604 in exponential form is:

29604 = 22 × 31 × 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 29584 and 29604.

LCM(29584,29604) = 24 × 432 × 31 × 24671
LCM(29584,29604) = 218951184