What is the Least Common Multiple of 13375 and 13395?

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 13375 and 13395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13375 and 13395, than apply into the LCM equation.

GCF(13375,13395) = 5
LCM(13375,13395) = ( 13375 × 13395) / 5
LCM(13375,13395) = 179158125 / 5
LCM(13375,13395) = 35831625

Least Common Multiple (LCM) of 13375 and 13395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13375 and 13395. First we will calculate the prime factors of 13375 and 13395.

Prime Factorization of 13375

Prime Factorization of 13395

Now multiplying the highest exponent prime factors to calculate the LCM of 13375 and 13395.

LCM(13375,13395) = 5³ × 107¹ × 3¹ × 19¹ × 47¹
LCM(13375,13395) = 35831625