GCF and LCM Calculator Logo

What is the Least Common Multiple of 28313 and 28322?

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 28313 and 28322 is 801880786.

LCM(28313,28322) = 801880786

LCM Calculator and
and

Least Common Multiple of 28313 and 28322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28313 and 28322, than apply into the LCM equation.

GCF(28313,28322) = 1
LCM(28313,28322) = ( 28313 × 28322) / 1
LCM(28313,28322) = 801880786 / 1
LCM(28313,28322) = 801880786

Least Common Multiple (LCM) of 28313 and 28322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28313 and 28322. First we will calculate the prime factors of 28313 and 28322.

Prime Factorization of 28313

Prime factors of 28313 are 23, 1231. Prime factorization of 28313 in exponential form is:

28313 = 231 × 12311

Prime Factorization of 28322

Prime factors of 28322 are 2, 7, 17. Prime factorization of 28322 in exponential form is:

28322 = 21 × 72 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 28313 and 28322.

LCM(28313,28322) = 231 × 12311 × 21 × 72 × 172
LCM(28313,28322) = 801880786