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What is the Least Common Multiple of 5813 and 5828?

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 5813 and 5828 is 33878164.

LCM(5813,5828) = 33878164

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Least Common Multiple of 5813 and 5828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5813 and 5828, than apply into the LCM equation.

GCF(5813,5828) = 1
LCM(5813,5828) = ( 5813 × 5828) / 1
LCM(5813,5828) = 33878164 / 1
LCM(5813,5828) = 33878164

Least Common Multiple (LCM) of 5813 and 5828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5813 and 5828. First we will calculate the prime factors of 5813 and 5828.

Prime Factorization of 5813

Prime factors of 5813 are 5813. Prime factorization of 5813 in exponential form is:

5813 = 58131

Prime Factorization of 5828

Prime factors of 5828 are 2, 31, 47. Prime factorization of 5828 in exponential form is:

5828 = 22 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 5813 and 5828.

LCM(5813,5828) = 58131 × 22 × 311 × 471
LCM(5813,5828) = 33878164