GCF and LCM Calculator Logo

What is the Least Common Multiple of 13169 and 13184?

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 13169 and 13184 is 173620096.

LCM(13169,13184) = 173620096

LCM Calculator and
and

Least Common Multiple of 13169 and 13184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13169 and 13184, than apply into the LCM equation.

GCF(13169,13184) = 1
LCM(13169,13184) = ( 13169 × 13184) / 1
LCM(13169,13184) = 173620096 / 1
LCM(13169,13184) = 173620096

Least Common Multiple (LCM) of 13169 and 13184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13169 and 13184. First we will calculate the prime factors of 13169 and 13184.

Prime Factorization of 13169

Prime factors of 13169 are 13, 1013. Prime factorization of 13169 in exponential form is:

13169 = 131 × 10131

Prime Factorization of 13184

Prime factors of 13184 are 2, 103. Prime factorization of 13184 in exponential form is:

13184 = 27 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 13169 and 13184.

LCM(13169,13184) = 131 × 10131 × 27 × 1031
LCM(13169,13184) = 173620096