What is the Least Common Multiple of 14685 and 14700?

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 14685 and 14700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14685 and 14700, than apply into the LCM equation.

GCF(14685,14700) = 15
LCM(14685,14700) = ( 14685 × 14700) / 15
LCM(14685,14700) = 215869500 / 15
LCM(14685,14700) = 14391300

Least Common Multiple (LCM) of 14685 and 14700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14685 and 14700. First we will calculate the prime factors of 14685 and 14700.

Prime Factorization of 14685

Prime Factorization of 14700

Now multiplying the highest exponent prime factors to calculate the LCM of 14685 and 14700.

LCM(14685,14700) = 3¹ × 5² × 11¹ × 89¹ × 2² × 7²
LCM(14685,14700) = 14391300