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What is the Least Common Multiple of 5811 and 5818?

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 5811 and 5818 is 33808398.

LCM(5811,5818) = 33808398

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Least Common Multiple of 5811 and 5818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5811 and 5818, than apply into the LCM equation.

GCF(5811,5818) = 1
LCM(5811,5818) = ( 5811 × 5818) / 1
LCM(5811,5818) = 33808398 / 1
LCM(5811,5818) = 33808398

Least Common Multiple (LCM) of 5811 and 5818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5811 and 5818. First we will calculate the prime factors of 5811 and 5818.

Prime Factorization of 5811

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

5811 = 31 × 131 × 1491

Prime Factorization of 5818

Prime factors of 5818 are 2, 2909. Prime factorization of 5818 in exponential form is:

5818 = 21 × 29091

Now multiplying the highest exponent prime factors to calculate the LCM of 5811 and 5818.

LCM(5811,5818) = 31 × 131 × 1491 × 21 × 29091
LCM(5811,5818) = 33808398