GCF and LCM Calculator Logo

What is the Least Common Multiple of 28309 and 28323?

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 28309 and 28323 is 801795807.

LCM(28309,28323) = 801795807

LCM Calculator and
and

Least Common Multiple of 28309 and 28323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28309 and 28323, than apply into the LCM equation.

GCF(28309,28323) = 1
LCM(28309,28323) = ( 28309 × 28323) / 1
LCM(28309,28323) = 801795807 / 1
LCM(28309,28323) = 801795807

Least Common Multiple (LCM) of 28309 and 28323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28309 and 28323. First we will calculate the prime factors of 28309 and 28323.

Prime Factorization of 28309

Prime factors of 28309 are 28309. Prime factorization of 28309 in exponential form is:

28309 = 283091

Prime Factorization of 28323

Prime factors of 28323 are 3, 1049. Prime factorization of 28323 in exponential form is:

28323 = 33 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 28309 and 28323.

LCM(28309,28323) = 283091 × 33 × 10491
LCM(28309,28323) = 801795807