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What is the Least Common Multiple of 18580 and 18586?

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 18580 and 18586 is 172663940.

LCM(18580,18586) = 172663940

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Least Common Multiple of 18580 and 18586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18580 and 18586, than apply into the LCM equation.

GCF(18580,18586) = 2
LCM(18580,18586) = ( 18580 × 18586) / 2
LCM(18580,18586) = 345327880 / 2
LCM(18580,18586) = 172663940

Least Common Multiple (LCM) of 18580 and 18586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18580 and 18586. First we will calculate the prime factors of 18580 and 18586.

Prime Factorization of 18580

Prime factors of 18580 are 2, 5, 929. Prime factorization of 18580 in exponential form is:

18580 = 22 × 51 × 9291

Prime Factorization of 18586

Prime factors of 18586 are 2, 9293. Prime factorization of 18586 in exponential form is:

18586 = 21 × 92931

Now multiplying the highest exponent prime factors to calculate the LCM of 18580 and 18586.

LCM(18580,18586) = 22 × 51 × 9291 × 92931
LCM(18580,18586) = 172663940