GCF and LCM Calculator Logo

What is the Least Common Multiple of 28243 and 28255?

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 28243 and 28255 is 798005965.

LCM(28243,28255) = 798005965

LCM Calculator and
and

Least Common Multiple of 28243 and 28255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28243 and 28255, than apply into the LCM equation.

GCF(28243,28255) = 1
LCM(28243,28255) = ( 28243 × 28255) / 1
LCM(28243,28255) = 798005965 / 1
LCM(28243,28255) = 798005965

Least Common Multiple (LCM) of 28243 and 28255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28243 and 28255. First we will calculate the prime factors of 28243 and 28255.

Prime Factorization of 28243

Prime factors of 28243 are 61, 463. Prime factorization of 28243 in exponential form is:

28243 = 611 × 4631

Prime Factorization of 28255

Prime factors of 28255 are 5, 5651. Prime factorization of 28255 in exponential form is:

28255 = 51 × 56511

Now multiplying the highest exponent prime factors to calculate the LCM of 28243 and 28255.

LCM(28243,28255) = 611 × 4631 × 51 × 56511
LCM(28243,28255) = 798005965