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What is the Least Common Multiple of 5798 and 5811?

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 5798 and 5811 is 2591706.

LCM(5798,5811) = 2591706

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Least Common Multiple of 5798 and 5811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5798 and 5811, than apply into the LCM equation.

GCF(5798,5811) = 13
LCM(5798,5811) = ( 5798 × 5811) / 13
LCM(5798,5811) = 33692178 / 13
LCM(5798,5811) = 2591706

Least Common Multiple (LCM) of 5798 and 5811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5798 and 5811. First we will calculate the prime factors of 5798 and 5811.

Prime Factorization of 5798

Prime factors of 5798 are 2, 13, 223. Prime factorization of 5798 in exponential form is:

5798 = 21 × 131 × 2231

Prime Factorization of 5811

Prime factors of 5811 are 3, 13, 149. Prime factorization of 5811 in exponential form is:

5811 = 31 × 131 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5798 and 5811.

LCM(5798,5811) = 21 × 131 × 2231 × 31 × 1491
LCM(5798,5811) = 2591706