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What is the Least Common Multiple of 28583 and 28597?

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 28583 and 28597 is 817388051.

LCM(28583,28597) = 817388051

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Least Common Multiple of 28583 and 28597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28583 and 28597, than apply into the LCM equation.

GCF(28583,28597) = 1
LCM(28583,28597) = ( 28583 × 28597) / 1
LCM(28583,28597) = 817388051 / 1
LCM(28583,28597) = 817388051

Least Common Multiple (LCM) of 28583 and 28597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28583 and 28597. First we will calculate the prime factors of 28583 and 28597.

Prime Factorization of 28583

Prime factors of 28583 are 101, 283. Prime factorization of 28583 in exponential form is:

28583 = 1011 × 2831

Prime Factorization of 28597

Prime factors of 28597 are 28597. Prime factorization of 28597 in exponential form is:

28597 = 285971

Now multiplying the highest exponent prime factors to calculate the LCM of 28583 and 28597.

LCM(28583,28597) = 1011 × 2831 × 285971
LCM(28583,28597) = 817388051