What is the Least Common Multiple of 14585 and 14604?

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 14585 and 14604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14585 and 14604, than apply into the LCM equation.

GCF(14585,14604) = 1
LCM(14585,14604) = ( 14585 × 14604) / 1
LCM(14585,14604) = 212999340 / 1
LCM(14585,14604) = 212999340

Least Common Multiple (LCM) of 14585 and 14604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14585 and 14604. First we will calculate the prime factors of 14585 and 14604.

Prime Factorization of 14585

Prime Factorization of 14604

Now multiplying the highest exponent prime factors to calculate the LCM of 14585 and 14604.

LCM(14585,14604) = 5¹ × 2917¹ × 2² × 3¹ × 1217¹
LCM(14585,14604) = 212999340