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What is the Least Common Multiple of 28567 and 28580?

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 28567 and 28580 is 816444860.

LCM(28567,28580) = 816444860

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Least Common Multiple of 28567 and 28580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28567 and 28580, than apply into the LCM equation.

GCF(28567,28580) = 1
LCM(28567,28580) = ( 28567 × 28580) / 1
LCM(28567,28580) = 816444860 / 1
LCM(28567,28580) = 816444860

Least Common Multiple (LCM) of 28567 and 28580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28567 and 28580. First we will calculate the prime factors of 28567 and 28580.

Prime Factorization of 28567

Prime factors of 28567 are 7, 11, 53. Prime factorization of 28567 in exponential form is:

28567 = 72 × 111 × 531

Prime Factorization of 28580

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

28580 = 22 × 51 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 28567 and 28580.

LCM(28567,28580) = 72 × 111 × 531 × 22 × 51 × 14291
LCM(28567,28580) = 816444860