What is the Least Common Multiple of 19866 and 19872?

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 19866 and 19872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19866 and 19872, than apply into the LCM equation.

GCF(19866,19872) = 6
LCM(19866,19872) = ( 19866 × 19872) / 6
LCM(19866,19872) = 394777152 / 6
LCM(19866,19872) = 65796192

Least Common Multiple (LCM) of 19866 and 19872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19866 and 19872. First we will calculate the prime factors of 19866 and 19872.

Prime Factorization of 19866

Prime Factorization of 19872

Now multiplying the highest exponent prime factors to calculate the LCM of 19866 and 19872.

LCM(19866,19872) = 2⁵ × 3³ × 7¹ × 11¹ × 43¹ × 23¹
LCM(19866,19872) = 65796192