What is the Least Common Multiple of 19589 and 19605?

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 19605 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 19605, than apply into the LCM equation.

GCF(19589,19605) = 1
LCM(19589,19605) = ( 19589 × 19605) / 1
LCM(19589,19605) = 384042345 / 1
LCM(19589,19605) = 384042345

Least Common Multiple (LCM) of 19589 and 19605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19589 and 19605. First we will calculate the prime factors of 19589 and 19605.

Prime Factorization of 19589

Prime Factorization of 19605

Now multiplying the highest exponent prime factors to calculate the LCM of 19589 and 19605.

LCM(19589,19605) = 19¹ × 1031¹ × 3¹ × 5¹ × 1307¹
LCM(19589,19605) = 384042345