What is the Least Common Multiple of 19589 and 19604?

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 19589 and 19604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19589 and 19604, than apply into the LCM equation.

GCF(19589,19604) = 1
LCM(19589,19604) = ( 19589 × 19604) / 1
LCM(19589,19604) = 384022756 / 1
LCM(19589,19604) = 384022756

Least Common Multiple (LCM) of 19589 and 19604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19589 and 19604. First we will calculate the prime factors of 19589 and 19604.

Prime Factorization of 19589

Prime Factorization of 19604

Now multiplying the highest exponent prime factors to calculate the LCM of 19589 and 19604.

LCM(19589,19604) = 19¹ × 1031¹ × 2² × 13² × 29¹
LCM(19589,19604) = 384022756