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What is the Least Common Multiple of 5809 and 5824?

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 5809 and 5824 is 33831616.

LCM(5809,5824) = 33831616

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Least Common Multiple of 5809 and 5824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5809 and 5824, than apply into the LCM equation.

GCF(5809,5824) = 1
LCM(5809,5824) = ( 5809 × 5824) / 1
LCM(5809,5824) = 33831616 / 1
LCM(5809,5824) = 33831616

Least Common Multiple (LCM) of 5809 and 5824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5809 and 5824. First we will calculate the prime factors of 5809 and 5824.

Prime Factorization of 5809

Prime factors of 5809 are 37, 157. Prime factorization of 5809 in exponential form is:

5809 = 371 × 1571

Prime Factorization of 5824

Prime factors of 5824 are 2, 7, 13. Prime factorization of 5824 in exponential form is:

5824 = 26 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 5809 and 5824.

LCM(5809,5824) = 371 × 1571 × 26 × 71 × 131
LCM(5809,5824) = 33831616