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What is the Least Common Multiple of 5790 and 5809?

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 5790 and 5809 is 33634110.

LCM(5790,5809) = 33634110

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Least Common Multiple of 5790 and 5809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5790 and 5809, than apply into the LCM equation.

GCF(5790,5809) = 1
LCM(5790,5809) = ( 5790 × 5809) / 1
LCM(5790,5809) = 33634110 / 1
LCM(5790,5809) = 33634110

Least Common Multiple (LCM) of 5790 and 5809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5790 and 5809. First we will calculate the prime factors of 5790 and 5809.

Prime Factorization of 5790

Prime factors of 5790 are 2, 3, 5, 193. Prime factorization of 5790 in exponential form is:

5790 = 21 × 31 × 51 × 1931

Prime Factorization of 5809

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

5809 = 371 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5790 and 5809.

LCM(5790,5809) = 21 × 31 × 51 × 1931 × 371 × 1571
LCM(5790,5809) = 33634110