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What is the Least Common Multiple of 60589 and 60602?

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 60589 and 60602 is 3671814578.

LCM(60589,60602) = 3671814578

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Least Common Multiple of 60589 and 60602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60589 and 60602, than apply into the LCM equation.

GCF(60589,60602) = 1
LCM(60589,60602) = ( 60589 × 60602) / 1
LCM(60589,60602) = 3671814578 / 1
LCM(60589,60602) = 3671814578

Least Common Multiple (LCM) of 60589 and 60602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60589 and 60602. First we will calculate the prime factors of 60589 and 60602.

Prime Factorization of 60589

Prime factors of 60589 are 60589. Prime factorization of 60589 in exponential form is:

60589 = 605891

Prime Factorization of 60602

Prime factors of 60602 are 2, 157, 193. Prime factorization of 60602 in exponential form is:

60602 = 21 × 1571 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 60589 and 60602.

LCM(60589,60602) = 605891 × 21 × 1571 × 1931
LCM(60589,60602) = 3671814578