GCF and LCM Calculator Logo

What is the Least Common Multiple of 9587 and 9593?

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 9587 and 9593 is 91968091.

LCM(9587,9593) = 91968091

LCM Calculator and
and

Least Common Multiple of 9587 and 9593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9587 and 9593, than apply into the LCM equation.

GCF(9587,9593) = 1
LCM(9587,9593) = ( 9587 × 9593) / 1
LCM(9587,9593) = 91968091 / 1
LCM(9587,9593) = 91968091

Least Common Multiple (LCM) of 9587 and 9593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9587 and 9593. First we will calculate the prime factors of 9587 and 9593.

Prime Factorization of 9587

Prime factors of 9587 are 9587. Prime factorization of 9587 in exponential form is:

9587 = 95871

Prime Factorization of 9593

Prime factors of 9593 are 53, 181. Prime factorization of 9593 in exponential form is:

9593 = 531 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9587 and 9593.

LCM(9587,9593) = 95871 × 531 × 1811
LCM(9587,9593) = 91968091