What is the Least Common Multiple of 20592 and 20610?

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 20610 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 20610, than apply into the LCM equation.

GCF(20592,20610) = 18
LCM(20592,20610) = ( 20592 × 20610) / 18
LCM(20592,20610) = 424401120 / 18
LCM(20592,20610) = 23577840

Least Common Multiple (LCM) of 20592 and 20610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20592 and 20610. First we will calculate the prime factors of 20592 and 20610.

Prime Factorization of 20592

Prime Factorization of 20610

Now multiplying the highest exponent prime factors to calculate the LCM of 20592 and 20610.

LCM(20592,20610) = 2⁴ × 3² × 11¹ × 13¹ × 5¹ × 229¹
LCM(20592,20610) = 23577840