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What is the Least Common Multiple of 28279 and 28297?

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 28297 is 800210863.

LCM(28279,28297) = 800210863

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Least Common Multiple of 28279 and 28297 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 28297, than apply into the LCM equation.

GCF(28279,28297) = 1
LCM(28279,28297) = ( 28279 × 28297) / 1
LCM(28279,28297) = 800210863 / 1
LCM(28279,28297) = 800210863

Least Common Multiple (LCM) of 28279 and 28297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28279 and 28297. First we will calculate the prime factors of 28279 and 28297.

Prime Factorization of 28279

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

28279 = 282791

Prime Factorization of 28297

Prime factors of 28297 are 28297. Prime factorization of 28297 in exponential form is:

28297 = 282971

Now multiplying the highest exponent prime factors to calculate the LCM of 28279 and 28297.

LCM(28279,28297) = 282791 × 282971
LCM(28279,28297) = 800210863