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What is the Least Common Multiple of 28268 and 28283?

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 28268 and 28283 is 799503844.

LCM(28268,28283) = 799503844

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Least Common Multiple of 28268 and 28283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28268 and 28283, than apply into the LCM equation.

GCF(28268,28283) = 1
LCM(28268,28283) = ( 28268 × 28283) / 1
LCM(28268,28283) = 799503844 / 1
LCM(28268,28283) = 799503844

Least Common Multiple (LCM) of 28268 and 28283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28268 and 28283. First we will calculate the prime factors of 28268 and 28283.

Prime Factorization of 28268

Prime factors of 28268 are 2, 37, 191. Prime factorization of 28268 in exponential form is:

28268 = 22 × 371 × 1911

Prime Factorization of 28283

Prime factors of 28283 are 28283. Prime factorization of 28283 in exponential form is:

28283 = 282831

Now multiplying the highest exponent prime factors to calculate the LCM of 28268 and 28283.

LCM(28268,28283) = 22 × 371 × 1911 × 282831
LCM(28268,28283) = 799503844