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What is the Least Common Multiple of 28579 and 28588?

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 28579 and 28588 is 817016452.

LCM(28579,28588) = 817016452

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Least Common Multiple of 28579 and 28588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28579 and 28588, than apply into the LCM equation.

GCF(28579,28588) = 1
LCM(28579,28588) = ( 28579 × 28588) / 1
LCM(28579,28588) = 817016452 / 1
LCM(28579,28588) = 817016452

Least Common Multiple (LCM) of 28579 and 28588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28579 and 28588. First we will calculate the prime factors of 28579 and 28588.

Prime Factorization of 28579

Prime factors of 28579 are 28579. Prime factorization of 28579 in exponential form is:

28579 = 285791

Prime Factorization of 28588

Prime factors of 28588 are 2, 7, 1021. Prime factorization of 28588 in exponential form is:

28588 = 22 × 71 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 28579 and 28588.

LCM(28579,28588) = 285791 × 22 × 71 × 10211
LCM(28579,28588) = 817016452