What is the Least Common Multiple of 20845 and 20857?

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 20845 and 20857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20845 and 20857, than apply into the LCM equation.

GCF(20845,20857) = 1
LCM(20845,20857) = ( 20845 × 20857) / 1
LCM(20845,20857) = 434764165 / 1
LCM(20845,20857) = 434764165

Least Common Multiple (LCM) of 20845 and 20857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20845 and 20857. First we will calculate the prime factors of 20845 and 20857.

Prime Factorization of 20845

Prime Factorization of 20857

Now multiplying the highest exponent prime factors to calculate the LCM of 20845 and 20857.

LCM(20845,20857) = 5¹ × 11¹ × 379¹ × 20857¹
LCM(20845,20857) = 434764165