What is the Least Common Multiple of 14355 and 14375?

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 14355 and 14375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14355 and 14375, than apply into the LCM equation.

GCF(14355,14375) = 5
LCM(14355,14375) = ( 14355 × 14375) / 5
LCM(14355,14375) = 206353125 / 5
LCM(14355,14375) = 41270625

Least Common Multiple (LCM) of 14355 and 14375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14355 and 14375. First we will calculate the prime factors of 14355 and 14375.

Prime Factorization of 14355

Prime Factorization of 14375

Now multiplying the highest exponent prime factors to calculate the LCM of 14355 and 14375.

LCM(14355,14375) = 3² × 5⁴ × 11¹ × 29¹ × 23¹
LCM(14355,14375) = 41270625