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What is the Least Common Multiple of 5882 and 5889?

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 5882 and 5889 is 34639098.

LCM(5882,5889) = 34639098

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Least Common Multiple of 5882 and 5889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5882 and 5889, than apply into the LCM equation.

GCF(5882,5889) = 1
LCM(5882,5889) = ( 5882 × 5889) / 1
LCM(5882,5889) = 34639098 / 1
LCM(5882,5889) = 34639098

Least Common Multiple (LCM) of 5882 and 5889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5882 and 5889. First we will calculate the prime factors of 5882 and 5889.

Prime Factorization of 5882

Prime factors of 5882 are 2, 17, 173. Prime factorization of 5882 in exponential form is:

5882 = 21 × 171 × 1731

Prime Factorization of 5889

Prime factors of 5889 are 3, 13, 151. Prime factorization of 5889 in exponential form is:

5889 = 31 × 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5882 and 5889.

LCM(5882,5889) = 21 × 171 × 1731 × 31 × 131 × 1511
LCM(5882,5889) = 34639098