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What is the Least Common Multiple of 5823 and 5829?

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 5823 and 5829 is 11314089.

LCM(5823,5829) = 11314089

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Least Common Multiple of 5823 and 5829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5823 and 5829, than apply into the LCM equation.

GCF(5823,5829) = 3
LCM(5823,5829) = ( 5823 × 5829) / 3
LCM(5823,5829) = 33942267 / 3
LCM(5823,5829) = 11314089

Least Common Multiple (LCM) of 5823 and 5829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5823 and 5829. First we will calculate the prime factors of 5823 and 5829.

Prime Factorization of 5823

Prime factors of 5823 are 3, 647. Prime factorization of 5823 in exponential form is:

5823 = 32 × 6471

Prime Factorization of 5829

Prime factors of 5829 are 3, 29, 67. Prime factorization of 5829 in exponential form is:

5829 = 31 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 5823 and 5829.

LCM(5823,5829) = 32 × 6471 × 291 × 671
LCM(5823,5829) = 11314089