What is the Least Common Multiple of 20468 and 20485?

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 20485 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 20485, than apply into the LCM equation.

GCF(20468,20485) = 17
LCM(20468,20485) = ( 20468 × 20485) / 17
LCM(20468,20485) = 419286980 / 17
LCM(20468,20485) = 24663940

Least Common Multiple (LCM) of 20468 and 20485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20468 and 20485. First we will calculate the prime factors of 20468 and 20485.

Prime Factorization of 20468

Prime Factorization of 20485

Now multiplying the highest exponent prime factors to calculate the LCM of 20468 and 20485.

LCM(20468,20485) = 2² × 7¹ × 17¹ × 43¹ × 5¹ × 241¹
LCM(20468,20485) = 24663940