GCF and LCM Calculator Logo

What is the Least Common Multiple of 13593 and 13598?

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 13593 and 13598 is 184837614.

LCM(13593,13598) = 184837614

LCM Calculator and
and

Least Common Multiple of 13593 and 13598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13593 and 13598, than apply into the LCM equation.

GCF(13593,13598) = 1
LCM(13593,13598) = ( 13593 × 13598) / 1
LCM(13593,13598) = 184837614 / 1
LCM(13593,13598) = 184837614

Least Common Multiple (LCM) of 13593 and 13598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13593 and 13598. First we will calculate the prime factors of 13593 and 13598.

Prime Factorization of 13593

Prime factors of 13593 are 3, 23, 197. Prime factorization of 13593 in exponential form is:

13593 = 31 × 231 × 1971

Prime Factorization of 13598

Prime factors of 13598 are 2, 13, 523. Prime factorization of 13598 in exponential form is:

13598 = 21 × 131 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 13593 and 13598.

LCM(13593,13598) = 31 × 231 × 1971 × 21 × 131 × 5231
LCM(13593,13598) = 184837614