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What is the Least Common Multiple of 29836 and 29849?

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 29836 and 29849 is 890574764.

LCM(29836,29849) = 890574764

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Least Common Multiple of 29836 and 29849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29836 and 29849, than apply into the LCM equation.

GCF(29836,29849) = 1
LCM(29836,29849) = ( 29836 × 29849) / 1
LCM(29836,29849) = 890574764 / 1
LCM(29836,29849) = 890574764

Least Common Multiple (LCM) of 29836 and 29849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29836 and 29849. First we will calculate the prime factors of 29836 and 29849.

Prime Factorization of 29836

Prime factors of 29836 are 2, 7459. Prime factorization of 29836 in exponential form is:

29836 = 22 × 74591

Prime Factorization of 29849

Prime factors of 29849 are 19, 1571. Prime factorization of 29849 in exponential form is:

29849 = 191 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 29836 and 29849.

LCM(29836,29849) = 22 × 74591 × 191 × 15711
LCM(29836,29849) = 890574764