GCF and LCM Calculator Logo

What is the Least Common Multiple of 28265 and 28281?

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 28265 and 28281 is 799362465.

LCM(28265,28281) = 799362465

LCM Calculator and
and

Least Common Multiple of 28265 and 28281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28265 and 28281, than apply into the LCM equation.

GCF(28265,28281) = 1
LCM(28265,28281) = ( 28265 × 28281) / 1
LCM(28265,28281) = 799362465 / 1
LCM(28265,28281) = 799362465

Least Common Multiple (LCM) of 28265 and 28281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28265 and 28281. First we will calculate the prime factors of 28265 and 28281.

Prime Factorization of 28265

Prime factors of 28265 are 5, 5653. Prime factorization of 28265 in exponential form is:

28265 = 51 × 56531

Prime Factorization of 28281

Prime factors of 28281 are 3, 11, 857. Prime factorization of 28281 in exponential form is:

28281 = 31 × 111 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 28265 and 28281.

LCM(28265,28281) = 51 × 56531 × 31 × 111 × 8571
LCM(28265,28281) = 799362465