GCF and LCM Calculator Logo

What is the Least Common Multiple of 6587 and 6593?

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 6587 and 6593 is 43428091.

LCM(6587,6593) = 43428091

LCM Calculator and
and

Least Common Multiple of 6587 and 6593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6587 and 6593, than apply into the LCM equation.

GCF(6587,6593) = 1
LCM(6587,6593) = ( 6587 × 6593) / 1
LCM(6587,6593) = 43428091 / 1
LCM(6587,6593) = 43428091

Least Common Multiple (LCM) of 6587 and 6593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6587 and 6593. First we will calculate the prime factors of 6587 and 6593.

Prime Factorization of 6587

Prime factors of 6587 are 7, 941. Prime factorization of 6587 in exponential form is:

6587 = 71 × 9411

Prime Factorization of 6593

Prime factors of 6593 are 19, 347. Prime factorization of 6593 in exponential form is:

6593 = 191 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 6587 and 6593.

LCM(6587,6593) = 71 × 9411 × 191 × 3471
LCM(6587,6593) = 43428091