GCF and LCM Calculator Logo

What is the Least Common Multiple of 28581 and 28595?

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 28581 and 28595 is 116753385.

LCM(28581,28595) = 116753385

LCM Calculator and
and

Least Common Multiple of 28581 and 28595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28581 and 28595, than apply into the LCM equation.

GCF(28581,28595) = 7
LCM(28581,28595) = ( 28581 × 28595) / 7
LCM(28581,28595) = 817273695 / 7
LCM(28581,28595) = 116753385

Least Common Multiple (LCM) of 28581 and 28595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28581 and 28595. First we will calculate the prime factors of 28581 and 28595.

Prime Factorization of 28581

Prime factors of 28581 are 3, 7, 1361. Prime factorization of 28581 in exponential form is:

28581 = 31 × 71 × 13611

Prime Factorization of 28595

Prime factors of 28595 are 5, 7, 19, 43. Prime factorization of 28595 in exponential form is:

28595 = 51 × 71 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 28581 and 28595.

LCM(28581,28595) = 31 × 71 × 13611 × 51 × 191 × 431
LCM(28581,28595) = 116753385