What is the Least Common Multiple of 13295 and 13301?

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 13295 and 13301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13295 and 13301, than apply into the LCM equation.

GCF(13295,13301) = 1
LCM(13295,13301) = ( 13295 × 13301) / 1
LCM(13295,13301) = 176836795 / 1
LCM(13295,13301) = 176836795

Least Common Multiple (LCM) of 13295 and 13301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13295 and 13301. First we will calculate the prime factors of 13295 and 13301.

Prime Factorization of 13295

Prime Factorization of 13301

Now multiplying the highest exponent prime factors to calculate the LCM of 13295 and 13301.

LCM(13295,13301) = 5¹ × 2659¹ × 47¹ × 283¹
LCM(13295,13301) = 176836795