GCF and LCM Calculator Logo

What is the Least Common Multiple of 28255 and 28264?

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 28255 and 28264 is 798599320.

LCM(28255,28264) = 798599320

LCM Calculator and
and

Least Common Multiple of 28255 and 28264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28255 and 28264, than apply into the LCM equation.

GCF(28255,28264) = 1
LCM(28255,28264) = ( 28255 × 28264) / 1
LCM(28255,28264) = 798599320 / 1
LCM(28255,28264) = 798599320

Least Common Multiple (LCM) of 28255 and 28264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28255 and 28264. First we will calculate the prime factors of 28255 and 28264.

Prime Factorization of 28255

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

28255 = 51 × 56511

Prime Factorization of 28264

Prime factors of 28264 are 2, 3533. Prime factorization of 28264 in exponential form is:

28264 = 23 × 35331

Now multiplying the highest exponent prime factors to calculate the LCM of 28255 and 28264.

LCM(28255,28264) = 51 × 56511 × 23 × 35331
LCM(28255,28264) = 798599320