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What is the Least Common Multiple of 28491 and 28500?

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 28491 and 28500 is 270664500.

LCM(28491,28500) = 270664500

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Least Common Multiple of 28491 and 28500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28491 and 28500, than apply into the LCM equation.

GCF(28491,28500) = 3
LCM(28491,28500) = ( 28491 × 28500) / 3
LCM(28491,28500) = 811993500 / 3
LCM(28491,28500) = 270664500

Least Common Multiple (LCM) of 28491 and 28500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28491 and 28500. First we will calculate the prime factors of 28491 and 28500.

Prime Factorization of 28491

Prime factors of 28491 are 3, 9497. Prime factorization of 28491 in exponential form is:

28491 = 31 × 94971

Prime Factorization of 28500

Prime factors of 28500 are 2, 3, 5, 19. Prime factorization of 28500 in exponential form is:

28500 = 22 × 31 × 53 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 28491 and 28500.

LCM(28491,28500) = 31 × 94971 × 22 × 53 × 191
LCM(28491,28500) = 270664500