What is the Least Common Multiple of 20284 and 20298?

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 20284 and 20298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20284 and 20298, than apply into the LCM equation.

GCF(20284,20298) = 2
LCM(20284,20298) = ( 20284 × 20298) / 2
LCM(20284,20298) = 411724632 / 2
LCM(20284,20298) = 205862316

Least Common Multiple (LCM) of 20284 and 20298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20284 and 20298. First we will calculate the prime factors of 20284 and 20298.

Prime Factorization of 20284

Prime Factorization of 20298

Now multiplying the highest exponent prime factors to calculate the LCM of 20284 and 20298.

LCM(20284,20298) = 2² × 11¹ × 461¹ × 3¹ × 17¹ × 199¹
LCM(20284,20298) = 205862316