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What is the Least Common Multiple of 5589 and 5602?

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 5589 and 5602 is 31309578.

LCM(5589,5602) = 31309578

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Least Common Multiple of 5589 and 5602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5589 and 5602, than apply into the LCM equation.

GCF(5589,5602) = 1
LCM(5589,5602) = ( 5589 × 5602) / 1
LCM(5589,5602) = 31309578 / 1
LCM(5589,5602) = 31309578

Least Common Multiple (LCM) of 5589 and 5602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5589 and 5602. First we will calculate the prime factors of 5589 and 5602.

Prime Factorization of 5589

Prime factors of 5589 are 3, 23. Prime factorization of 5589 in exponential form is:

5589 = 35 × 231

Prime Factorization of 5602

Prime factors of 5602 are 2, 2801. Prime factorization of 5602 in exponential form is:

5602 = 21 × 28011

Now multiplying the highest exponent prime factors to calculate the LCM of 5589 and 5602.

LCM(5589,5602) = 35 × 231 × 21 × 28011
LCM(5589,5602) = 31309578