What is the Least Common Multiple of 14310 and 14325?

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 14310 and 14325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14310 and 14325, than apply into the LCM equation.

GCF(14310,14325) = 15
LCM(14310,14325) = ( 14310 × 14325) / 15
LCM(14310,14325) = 204990750 / 15
LCM(14310,14325) = 13666050

Least Common Multiple (LCM) of 14310 and 14325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14310 and 14325. First we will calculate the prime factors of 14310 and 14325.

Prime Factorization of 14310

Prime Factorization of 14325

Now multiplying the highest exponent prime factors to calculate the LCM of 14310 and 14325.

LCM(14310,14325) = 2¹ × 3³ × 5² × 53¹ × 191¹
LCM(14310,14325) = 13666050