GCF and LCM Calculator Logo

What is the Least Common Multiple of 28366 and 28384?

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 28366 and 28384 is 402570272.

LCM(28366,28384) = 402570272

LCM Calculator and
and

Least Common Multiple of 28366 and 28384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28366 and 28384, than apply into the LCM equation.

GCF(28366,28384) = 2
LCM(28366,28384) = ( 28366 × 28384) / 2
LCM(28366,28384) = 805140544 / 2
LCM(28366,28384) = 402570272

Least Common Multiple (LCM) of 28366 and 28384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28366 and 28384. First we will calculate the prime factors of 28366 and 28384.

Prime Factorization of 28366

Prime factors of 28366 are 2, 13, 1091. Prime factorization of 28366 in exponential form is:

28366 = 21 × 131 × 10911

Prime Factorization of 28384

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

28384 = 25 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 28366 and 28384.

LCM(28366,28384) = 25 × 131 × 10911 × 8871
LCM(28366,28384) = 402570272