GCF and LCM Calculator Logo

What is the Least Common Multiple of 28565 and 28584?

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 28565 and 28584 is 816501960.

LCM(28565,28584) = 816501960

LCM Calculator and
and

Least Common Multiple of 28565 and 28584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28565 and 28584, than apply into the LCM equation.

GCF(28565,28584) = 1
LCM(28565,28584) = ( 28565 × 28584) / 1
LCM(28565,28584) = 816501960 / 1
LCM(28565,28584) = 816501960

Least Common Multiple (LCM) of 28565 and 28584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28565 and 28584. First we will calculate the prime factors of 28565 and 28584.

Prime Factorization of 28565

Prime factors of 28565 are 5, 29, 197. Prime factorization of 28565 in exponential form is:

28565 = 51 × 291 × 1971

Prime Factorization of 28584

Prime factors of 28584 are 2, 3, 397. Prime factorization of 28584 in exponential form is:

28584 = 23 × 32 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 28565 and 28584.

LCM(28565,28584) = 51 × 291 × 1971 × 23 × 32 × 3971
LCM(28565,28584) = 816501960