What is the Least Common Multiple of 20204 and 20214?

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 20204 and 20214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20204 and 20214, than apply into the LCM equation.

GCF(20204,20214) = 2
LCM(20204,20214) = ( 20204 × 20214) / 2
LCM(20204,20214) = 408403656 / 2
LCM(20204,20214) = 204201828

Least Common Multiple (LCM) of 20204 and 20214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20204 and 20214. First we will calculate the prime factors of 20204 and 20214.

Prime Factorization of 20204

Prime Factorization of 20214

Now multiplying the highest exponent prime factors to calculate the LCM of 20204 and 20214.

LCM(20204,20214) = 2² × 5051¹ × 3² × 1123¹
LCM(20204,20214) = 204201828