What is the Least Common Multiple of 20493 and 20500?

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 20493 and 20500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20493 and 20500, than apply into the LCM equation.

GCF(20493,20500) = 1
LCM(20493,20500) = ( 20493 × 20500) / 1
LCM(20493,20500) = 420106500 / 1
LCM(20493,20500) = 420106500

Least Common Multiple (LCM) of 20493 and 20500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20493 and 20500. First we will calculate the prime factors of 20493 and 20500.

Prime Factorization of 20493

Prime Factorization of 20500

Now multiplying the highest exponent prime factors to calculate the LCM of 20493 and 20500.

LCM(20493,20500) = 3⁴ × 11¹ × 23¹ × 2² × 5³ × 41¹
LCM(20493,20500) = 420106500