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What is the Least Common Multiple of 29844 and 29856?

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 29844 and 29856 is 74251872.

LCM(29844,29856) = 74251872

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Least Common Multiple of 29844 and 29856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29844 and 29856, than apply into the LCM equation.

GCF(29844,29856) = 12
LCM(29844,29856) = ( 29844 × 29856) / 12
LCM(29844,29856) = 891022464 / 12
LCM(29844,29856) = 74251872

Least Common Multiple (LCM) of 29844 and 29856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29844 and 29856. First we will calculate the prime factors of 29844 and 29856.

Prime Factorization of 29844

Prime factors of 29844 are 2, 3, 829. Prime factorization of 29844 in exponential form is:

29844 = 22 × 32 × 8291

Prime Factorization of 29856

Prime factors of 29856 are 2, 3, 311. Prime factorization of 29856 in exponential form is:

29856 = 25 × 31 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 29844 and 29856.

LCM(29844,29856) = 25 × 32 × 8291 × 3111
LCM(29844,29856) = 74251872