GCF and LCM Calculator Logo

What is the Least Common Multiple of 28558 and 28567?

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 28558 and 28567 is 815816386.

LCM(28558,28567) = 815816386

LCM Calculator and
and

Least Common Multiple of 28558 and 28567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28558 and 28567, than apply into the LCM equation.

GCF(28558,28567) = 1
LCM(28558,28567) = ( 28558 × 28567) / 1
LCM(28558,28567) = 815816386 / 1
LCM(28558,28567) = 815816386

Least Common Multiple (LCM) of 28558 and 28567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28558 and 28567. First we will calculate the prime factors of 28558 and 28567.

Prime Factorization of 28558

Prime factors of 28558 are 2, 109, 131. Prime factorization of 28558 in exponential form is:

28558 = 21 × 1091 × 1311

Prime Factorization of 28567

Prime factors of 28567 are 7, 11, 53. Prime factorization of 28567 in exponential form is:

28567 = 72 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 28558 and 28567.

LCM(28558,28567) = 21 × 1091 × 1311 × 72 × 111 × 531
LCM(28558,28567) = 815816386