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What is the Least Common Multiple of 28269 and 28279?

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 28269 and 28279 is 799419051.

LCM(28269,28279) = 799419051

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Least Common Multiple of 28269 and 28279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28269 and 28279, than apply into the LCM equation.

GCF(28269,28279) = 1
LCM(28269,28279) = ( 28269 × 28279) / 1
LCM(28269,28279) = 799419051 / 1
LCM(28269,28279) = 799419051

Least Common Multiple (LCM) of 28269 and 28279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28269 and 28279. First we will calculate the prime factors of 28269 and 28279.

Prime Factorization of 28269

Prime factors of 28269 are 3, 349. Prime factorization of 28269 in exponential form is:

28269 = 34 × 3491

Prime Factorization of 28279

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

28279 = 282791

Now multiplying the highest exponent prime factors to calculate the LCM of 28269 and 28279.

LCM(28269,28279) = 34 × 3491 × 282791
LCM(28269,28279) = 799419051