What is the Least Common Multiple of 20403 and 20418?

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 20403 and 20418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20403 and 20418, than apply into the LCM equation.

GCF(20403,20418) = 3
LCM(20403,20418) = ( 20403 × 20418) / 3
LCM(20403,20418) = 416588454 / 3
LCM(20403,20418) = 138862818

Least Common Multiple (LCM) of 20403 and 20418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20403 and 20418. First we will calculate the prime factors of 20403 and 20418.

Prime Factorization of 20403

Prime Factorization of 20418

Now multiplying the highest exponent prime factors to calculate the LCM of 20403 and 20418.

LCM(20403,20418) = 3² × 2267¹ × 2¹ × 41¹ × 83¹
LCM(20403,20418) = 138862818