GCF and LCM Calculator Logo

What is the Least Common Multiple of 28871 and 28887?

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 28871 and 28887 is 833996577.

LCM(28871,28887) = 833996577

LCM Calculator and
and

Least Common Multiple of 28871 and 28887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28871 and 28887, than apply into the LCM equation.

GCF(28871,28887) = 1
LCM(28871,28887) = ( 28871 × 28887) / 1
LCM(28871,28887) = 833996577 / 1
LCM(28871,28887) = 833996577

Least Common Multiple (LCM) of 28871 and 28887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28871 and 28887. First we will calculate the prime factors of 28871 and 28887.

Prime Factorization of 28871

Prime factors of 28871 are 28871. Prime factorization of 28871 in exponential form is:

28871 = 288711

Prime Factorization of 28887

Prime factors of 28887 are 3, 9629. Prime factorization of 28887 in exponential form is:

28887 = 31 × 96291

Now multiplying the highest exponent prime factors to calculate the LCM of 28871 and 28887.

LCM(28871,28887) = 288711 × 31 × 96291
LCM(28871,28887) = 833996577