What is the Least Common Multiple of 13280 and 13295?

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 13280 and 13295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13280 and 13295, than apply into the LCM equation.

GCF(13280,13295) = 5
LCM(13280,13295) = ( 13280 × 13295) / 5
LCM(13280,13295) = 176557600 / 5
LCM(13280,13295) = 35311520

Least Common Multiple (LCM) of 13280 and 13295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13280 and 13295. First we will calculate the prime factors of 13280 and 13295.

Prime Factorization of 13280

Prime Factorization of 13295

Now multiplying the highest exponent prime factors to calculate the LCM of 13280 and 13295.

LCM(13280,13295) = 2⁵ × 5¹ × 83¹ × 2659¹
LCM(13280,13295) = 35311520