GCF and LCM Calculator Logo

What is the Least Common Multiple of 28543 and 28547?

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 28543 and 28547 is 814817021.

LCM(28543,28547) = 814817021

LCM Calculator and
and

Least Common Multiple of 28543 and 28547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28543 and 28547, than apply into the LCM equation.

GCF(28543,28547) = 1
LCM(28543,28547) = ( 28543 × 28547) / 1
LCM(28543,28547) = 814817021 / 1
LCM(28543,28547) = 814817021

Least Common Multiple (LCM) of 28543 and 28547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28543 and 28547. First we will calculate the prime factors of 28543 and 28547.

Prime Factorization of 28543

Prime factors of 28543 are 17, 23, 73. Prime factorization of 28543 in exponential form is:

28543 = 171 × 231 × 731

Prime Factorization of 28547

Prime factors of 28547 are 28547. Prime factorization of 28547 in exponential form is:

28547 = 285471

Now multiplying the highest exponent prime factors to calculate the LCM of 28543 and 28547.

LCM(28543,28547) = 171 × 231 × 731 × 285471
LCM(28543,28547) = 814817021