What is the Least Common Multiple of 13360 and 13375?

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 13360 and 13375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13360 and 13375, than apply into the LCM equation.

GCF(13360,13375) = 5
LCM(13360,13375) = ( 13360 × 13375) / 5
LCM(13360,13375) = 178690000 / 5
LCM(13360,13375) = 35738000

Least Common Multiple (LCM) of 13360 and 13375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13360 and 13375. First we will calculate the prime factors of 13360 and 13375.

Prime Factorization of 13360

Prime Factorization of 13375

Now multiplying the highest exponent prime factors to calculate the LCM of 13360 and 13375.

LCM(13360,13375) = 2⁴ × 5³ × 167¹ × 107¹
LCM(13360,13375) = 35738000