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What is the Least Common Multiple of 29576 and 29584?

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 29576 and 29584 is 109372048.

LCM(29576,29584) = 109372048

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Least Common Multiple of 29576 and 29584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29576 and 29584, than apply into the LCM equation.

GCF(29576,29584) = 8
LCM(29576,29584) = ( 29576 × 29584) / 8
LCM(29576,29584) = 874976384 / 8
LCM(29576,29584) = 109372048

Least Common Multiple (LCM) of 29576 and 29584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29576 and 29584. First we will calculate the prime factors of 29576 and 29584.

Prime Factorization of 29576

Prime factors of 29576 are 2, 3697. Prime factorization of 29576 in exponential form is:

29576 = 23 × 36971

Prime Factorization of 29584

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

29584 = 24 × 432

Now multiplying the highest exponent prime factors to calculate the LCM of 29576 and 29584.

LCM(29576,29584) = 24 × 36971 × 432
LCM(29576,29584) = 109372048