GCF and LCM Calculator Logo

What is the Least Common Multiple of 13583 and 13597?

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 13583 and 13597 is 184688051.

LCM(13583,13597) = 184688051

LCM Calculator and
and

Least Common Multiple of 13583 and 13597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13583 and 13597, than apply into the LCM equation.

GCF(13583,13597) = 1
LCM(13583,13597) = ( 13583 × 13597) / 1
LCM(13583,13597) = 184688051 / 1
LCM(13583,13597) = 184688051

Least Common Multiple (LCM) of 13583 and 13597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13583 and 13597. First we will calculate the prime factors of 13583 and 13597.

Prime Factorization of 13583

Prime factors of 13583 are 17, 47. Prime factorization of 13583 in exponential form is:

13583 = 172 × 471

Prime Factorization of 13597

Prime factors of 13597 are 13597. Prime factorization of 13597 in exponential form is:

13597 = 135971

Now multiplying the highest exponent prime factors to calculate the LCM of 13583 and 13597.

LCM(13583,13597) = 172 × 471 × 135971
LCM(13583,13597) = 184688051