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What is the Least Common Multiple of 28276 and 28287?

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 28276 and 28287 is 799843212.

LCM(28276,28287) = 799843212

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Least Common Multiple of 28276 and 28287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28276 and 28287, than apply into the LCM equation.

GCF(28276,28287) = 1
LCM(28276,28287) = ( 28276 × 28287) / 1
LCM(28276,28287) = 799843212 / 1
LCM(28276,28287) = 799843212

Least Common Multiple (LCM) of 28276 and 28287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28276 and 28287. First we will calculate the prime factors of 28276 and 28287.

Prime Factorization of 28276

Prime factors of 28276 are 2, 7069. Prime factorization of 28276 in exponential form is:

28276 = 22 × 70691

Prime Factorization of 28287

Prime factors of 28287 are 3, 7, 449. Prime factorization of 28287 in exponential form is:

28287 = 32 × 71 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 28276 and 28287.

LCM(28276,28287) = 22 × 70691 × 32 × 71 × 4491
LCM(28276,28287) = 799843212