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What is the Least Common Multiple of 28279 and 28296?

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 28279 and 28296 is 800182584.

LCM(28279,28296) = 800182584

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Least Common Multiple of 28279 and 28296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28279 and 28296, than apply into the LCM equation.

GCF(28279,28296) = 1
LCM(28279,28296) = ( 28279 × 28296) / 1
LCM(28279,28296) = 800182584 / 1
LCM(28279,28296) = 800182584

Least Common Multiple (LCM) of 28279 and 28296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28279 and 28296. First we will calculate the prime factors of 28279 and 28296.

Prime Factorization of 28279

Prime factors of 28279 are 28279. Prime factorization of 28279 in exponential form is:

28279 = 282791

Prime Factorization of 28296

Prime factors of 28296 are 2, 3, 131. Prime factorization of 28296 in exponential form is:

28296 = 23 × 33 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 28279 and 28296.

LCM(28279,28296) = 282791 × 23 × 33 × 1311
LCM(28279,28296) = 800182584