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What is the Least Common Multiple of 28580 and 28593?

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 28580 and 28593 is 817187940.

LCM(28580,28593) = 817187940

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Least Common Multiple of 28580 and 28593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28580 and 28593, than apply into the LCM equation.

GCF(28580,28593) = 1
LCM(28580,28593) = ( 28580 × 28593) / 1
LCM(28580,28593) = 817187940 / 1
LCM(28580,28593) = 817187940

Least Common Multiple (LCM) of 28580 and 28593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28580 and 28593. First we will calculate the prime factors of 28580 and 28593.

Prime Factorization of 28580

Prime factors of 28580 are 2, 5, 1429. Prime factorization of 28580 in exponential form is:

28580 = 22 × 51 × 14291

Prime Factorization of 28593

Prime factors of 28593 are 3, 353. Prime factorization of 28593 in exponential form is:

28593 = 34 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 28580 and 28593.

LCM(28580,28593) = 22 × 51 × 14291 × 34 × 3531
LCM(28580,28593) = 817187940