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What is the Least Common Multiple of 5864 and 5882?

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 5864 and 5882 is 17246024.

LCM(5864,5882) = 17246024

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Least Common Multiple of 5864 and 5882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5864 and 5882, than apply into the LCM equation.

GCF(5864,5882) = 2
LCM(5864,5882) = ( 5864 × 5882) / 2
LCM(5864,5882) = 34492048 / 2
LCM(5864,5882) = 17246024

Least Common Multiple (LCM) of 5864 and 5882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5864 and 5882. First we will calculate the prime factors of 5864 and 5882.

Prime Factorization of 5864

Prime factors of 5864 are 2, 733. Prime factorization of 5864 in exponential form is:

5864 = 23 × 7331

Prime Factorization of 5882

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

5882 = 21 × 171 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 5864 and 5882.

LCM(5864,5882) = 23 × 7331 × 171 × 1731
LCM(5864,5882) = 17246024