GCF and LCM Calculator Logo

What is the Least Common Multiple of 28783 and 28801?

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 28783 and 28801 is 828979183.

LCM(28783,28801) = 828979183

LCM Calculator and
and

Least Common Multiple of 28783 and 28801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28783 and 28801, than apply into the LCM equation.

GCF(28783,28801) = 1
LCM(28783,28801) = ( 28783 × 28801) / 1
LCM(28783,28801) = 828979183 / 1
LCM(28783,28801) = 828979183

Least Common Multiple (LCM) of 28783 and 28801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28783 and 28801. First we will calculate the prime factors of 28783 and 28801.

Prime Factorization of 28783

Prime factors of 28783 are 107, 269. Prime factorization of 28783 in exponential form is:

28783 = 1071 × 2691

Prime Factorization of 28801

Prime factors of 28801 are 83, 347. Prime factorization of 28801 in exponential form is:

28801 = 831 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 28783 and 28801.

LCM(28783,28801) = 1071 × 2691 × 831 × 3471
LCM(28783,28801) = 828979183