What is the Least Common Multiple of 20585 and 20592?

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 20585 and 20592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20585 and 20592, than apply into the LCM equation.

GCF(20585,20592) = 1
LCM(20585,20592) = ( 20585 × 20592) / 1
LCM(20585,20592) = 423886320 / 1
LCM(20585,20592) = 423886320

Least Common Multiple (LCM) of 20585 and 20592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20585 and 20592. First we will calculate the prime factors of 20585 and 20592.

Prime Factorization of 20585

Prime Factorization of 20592

Now multiplying the highest exponent prime factors to calculate the LCM of 20585 and 20592.

LCM(20585,20592) = 5¹ × 23¹ × 179¹ × 2⁴ × 3² × 11¹ × 13¹
LCM(20585,20592) = 423886320