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What is the Least Common Multiple of 28384 and 28389?

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 28384 and 28389 is 805793376.

LCM(28384,28389) = 805793376

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Least Common Multiple of 28384 and 28389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28384 and 28389, than apply into the LCM equation.

GCF(28384,28389) = 1
LCM(28384,28389) = ( 28384 × 28389) / 1
LCM(28384,28389) = 805793376 / 1
LCM(28384,28389) = 805793376

Least Common Multiple (LCM) of 28384 and 28389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28384 and 28389. First we will calculate the prime factors of 28384 and 28389.

Prime Factorization of 28384

Prime factors of 28384 are 2, 887. Prime factorization of 28384 in exponential form is:

28384 = 25 × 8871

Prime Factorization of 28389

Prime factors of 28389 are 3, 9463. Prime factorization of 28389 in exponential form is:

28389 = 31 × 94631

Now multiplying the highest exponent prime factors to calculate the LCM of 28384 and 28389.

LCM(28384,28389) = 25 × 8871 × 31 × 94631
LCM(28384,28389) = 805793376