What is the Least Common Multiple of 20592 and 20599?

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 20592 and 20599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20592 and 20599, than apply into the LCM equation.

GCF(20592,20599) = 1
LCM(20592,20599) = ( 20592 × 20599) / 1
LCM(20592,20599) = 424174608 / 1
LCM(20592,20599) = 424174608

Least Common Multiple (LCM) of 20592 and 20599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20592 and 20599. First we will calculate the prime factors of 20592 and 20599.

Prime Factorization of 20592

Prime Factorization of 20599

Now multiplying the highest exponent prime factors to calculate the LCM of 20592 and 20599.

LCM(20592,20599) = 2⁴ × 3² × 11¹ × 13¹ × 20599¹
LCM(20592,20599) = 424174608