GCF and LCM Calculator Logo

What is the Least Common Multiple of 13403 and 13417?

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 13403 and 13417 is 179828051.

LCM(13403,13417) = 179828051

LCM Calculator and
and

Least Common Multiple of 13403 and 13417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13403 and 13417, than apply into the LCM equation.

GCF(13403,13417) = 1
LCM(13403,13417) = ( 13403 × 13417) / 1
LCM(13403,13417) = 179828051 / 1
LCM(13403,13417) = 179828051

Least Common Multiple (LCM) of 13403 and 13417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13403 and 13417. First we will calculate the prime factors of 13403 and 13417.

Prime Factorization of 13403

Prime factors of 13403 are 13, 1031. Prime factorization of 13403 in exponential form is:

13403 = 131 × 10311

Prime Factorization of 13417

Prime factors of 13417 are 13417. Prime factorization of 13417 in exponential form is:

13417 = 134171

Now multiplying the highest exponent prime factors to calculate the LCM of 13403 and 13417.

LCM(13403,13417) = 131 × 10311 × 134171
LCM(13403,13417) = 179828051