What is the Least Common Multiple of 19845 and 19857?

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 19845 and 19857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19845 and 19857, than apply into the LCM equation.

GCF(19845,19857) = 3
LCM(19845,19857) = ( 19845 × 19857) / 3
LCM(19845,19857) = 394062165 / 3
LCM(19845,19857) = 131354055

Least Common Multiple (LCM) of 19845 and 19857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19845 and 19857. First we will calculate the prime factors of 19845 and 19857.

Prime Factorization of 19845

Prime Factorization of 19857

Now multiplying the highest exponent prime factors to calculate the LCM of 19845 and 19857.

LCM(19845,19857) = 3⁴ × 5¹ × 7² × 6619¹
LCM(19845,19857) = 131354055