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What is the Least Common Multiple of 28587 and 28604?

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 28587 and 28604 is 817702548.

LCM(28587,28604) = 817702548

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Least Common Multiple of 28587 and 28604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28587 and 28604, than apply into the LCM equation.

GCF(28587,28604) = 1
LCM(28587,28604) = ( 28587 × 28604) / 1
LCM(28587,28604) = 817702548 / 1
LCM(28587,28604) = 817702548

Least Common Multiple (LCM) of 28587 and 28604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28587 and 28604. First we will calculate the prime factors of 28587 and 28604.

Prime Factorization of 28587

Prime factors of 28587 are 3, 13, 733. Prime factorization of 28587 in exponential form is:

28587 = 31 × 131 × 7331

Prime Factorization of 28604

Prime factors of 28604 are 2, 7151. Prime factorization of 28604 in exponential form is:

28604 = 22 × 71511

Now multiplying the highest exponent prime factors to calculate the LCM of 28587 and 28604.

LCM(28587,28604) = 31 × 131 × 7331 × 22 × 71511
LCM(28587,28604) = 817702548