GCF and LCM Calculator Logo

What is the Least Common Multiple of 28339 and 28343?

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 28339 and 28343 is 803212277.

LCM(28339,28343) = 803212277

LCM Calculator and
and

Least Common Multiple of 28339 and 28343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28339 and 28343, than apply into the LCM equation.

GCF(28339,28343) = 1
LCM(28339,28343) = ( 28339 × 28343) / 1
LCM(28339,28343) = 803212277 / 1
LCM(28339,28343) = 803212277

Least Common Multiple (LCM) of 28339 and 28343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28339 and 28343. First we will calculate the prime factors of 28339 and 28343.

Prime Factorization of 28339

Prime factors of 28339 are 17, 1667. Prime factorization of 28339 in exponential form is:

28339 = 171 × 16671

Prime Factorization of 28343

Prime factors of 28343 are 7, 4049. Prime factorization of 28343 in exponential form is:

28343 = 71 × 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 28339 and 28343.

LCM(28339,28343) = 171 × 16671 × 71 × 40491
LCM(28339,28343) = 803212277