What is the Least Common Multiple of 13904 and 13915?

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 13904 and 13915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13904 and 13915, than apply into the LCM equation.

GCF(13904,13915) = 11
LCM(13904,13915) = ( 13904 × 13915) / 11
LCM(13904,13915) = 193474160 / 11
LCM(13904,13915) = 17588560

Least Common Multiple (LCM) of 13904 and 13915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13904 and 13915. First we will calculate the prime factors of 13904 and 13915.

Prime Factorization of 13904

Prime Factorization of 13915

Now multiplying the highest exponent prime factors to calculate the LCM of 13904 and 13915.

LCM(13904,13915) = 2⁴ × 11² × 79¹ × 5¹ × 23¹
LCM(13904,13915) = 17588560