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What is the Least Common Multiple of 28396 and 28401?

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 28396 and 28401 is 806474796.

LCM(28396,28401) = 806474796

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Least Common Multiple of 28396 and 28401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28396 and 28401, than apply into the LCM equation.

GCF(28396,28401) = 1
LCM(28396,28401) = ( 28396 × 28401) / 1
LCM(28396,28401) = 806474796 / 1
LCM(28396,28401) = 806474796

Least Common Multiple (LCM) of 28396 and 28401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28396 and 28401. First we will calculate the prime factors of 28396 and 28401.

Prime Factorization of 28396

Prime factors of 28396 are 2, 31, 229. Prime factorization of 28396 in exponential form is:

28396 = 22 × 311 × 2291

Prime Factorization of 28401

Prime factors of 28401 are 3, 9467. Prime factorization of 28401 in exponential form is:

28401 = 31 × 94671

Now multiplying the highest exponent prime factors to calculate the LCM of 28396 and 28401.

LCM(28396,28401) = 22 × 311 × 2291 × 31 × 94671
LCM(28396,28401) = 806474796