GCF and LCM Calculator Logo

What is the Least Common Multiple of 28393 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 28393 and 28401 is 806389593.

LCM(28393,28401) = 806389593

LCM Calculator and
and

Least Common Multiple of 28393 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 28393 and 28401, than apply into the LCM equation.

GCF(28393,28401) = 1
LCM(28393,28401) = ( 28393 × 28401) / 1
LCM(28393,28401) = 806389593 / 1
LCM(28393,28401) = 806389593

Least Common Multiple (LCM) of 28393 and 28401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28393 and 28401. First we will calculate the prime factors of 28393 and 28401.

Prime Factorization of 28393

Prime factors of 28393 are 28393. Prime factorization of 28393 in exponential form is:

28393 = 283931

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 28393 and 28401.

LCM(28393,28401) = 283931 × 31 × 94671
LCM(28393,28401) = 806389593