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What is the Least Common Multiple of 5882 and 5898?

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 5898 is 17346018.

LCM(5882,5898) = 17346018

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Least Common Multiple of 5882 and 5898 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 5898, than apply into the LCM equation.

GCF(5882,5898) = 2
LCM(5882,5898) = ( 5882 × 5898) / 2
LCM(5882,5898) = 34692036 / 2
LCM(5882,5898) = 17346018

Least Common Multiple (LCM) of 5882 and 5898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5882 and 5898. First we will calculate the prime factors of 5882 and 5898.

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 5898

Prime factors of 5898 are 2, 3, 983. Prime factorization of 5898 in exponential form is:

5898 = 21 × 31 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 5882 and 5898.

LCM(5882,5898) = 21 × 171 × 1731 × 31 × 9831
LCM(5882,5898) = 17346018