What is the Least Common Multiple of 20468 and 20484?

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 20468 and 20484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20468 and 20484, than apply into the LCM equation.

GCF(20468,20484) = 4
LCM(20468,20484) = ( 20468 × 20484) / 4
LCM(20468,20484) = 419266512 / 4
LCM(20468,20484) = 104816628

Least Common Multiple (LCM) of 20468 and 20484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20468 and 20484. First we will calculate the prime factors of 20468 and 20484.

Prime Factorization of 20468

Prime Factorization of 20484

Now multiplying the highest exponent prime factors to calculate the LCM of 20468 and 20484.

LCM(20468,20484) = 2² × 7¹ × 17¹ × 43¹ × 3² × 569¹
LCM(20468,20484) = 104816628