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What is the Least Common Multiple of 28504 and 28508?

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 28504 and 28508 is 203148008.

LCM(28504,28508) = 203148008

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Least Common Multiple of 28504 and 28508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28504 and 28508, than apply into the LCM equation.

GCF(28504,28508) = 4
LCM(28504,28508) = ( 28504 × 28508) / 4
LCM(28504,28508) = 812592032 / 4
LCM(28504,28508) = 203148008

Least Common Multiple (LCM) of 28504 and 28508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28504 and 28508. First we will calculate the prime factors of 28504 and 28508.

Prime Factorization of 28504

Prime factors of 28504 are 2, 7, 509. Prime factorization of 28504 in exponential form is:

28504 = 23 × 71 × 5091

Prime Factorization of 28508

Prime factors of 28508 are 2, 7127. Prime factorization of 28508 in exponential form is:

28508 = 22 × 71271

Now multiplying the highest exponent prime factors to calculate the LCM of 28504 and 28508.

LCM(28504,28508) = 23 × 71 × 5091 × 71271
LCM(28504,28508) = 203148008