What is the Least Common Multiple of 13178 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 of 13178 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 13178 and 13184, than apply into the LCM equation.

GCF(13178,13184) = 2
LCM(13178,13184) = ( 13178 × 13184) / 2
LCM(13178,13184) = 173738752 / 2
LCM(13178,13184) = 86869376

Least Common Multiple (LCM) of 13178 and 13184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13178 and 13184. First we will calculate the prime factors of 13178 and 13184.

Prime Factorization of 13178

Prime Factorization of 13184

Now multiplying the highest exponent prime factors to calculate the LCM of 13178 and 13184.

LCM(13178,13184) = 2⁷ × 11¹ × 599¹ × 103¹
LCM(13178,13184) = 86869376