What is the Least Common Multiple of 19872 and 19878?

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 19872 and 19878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19872 and 19878, than apply into the LCM equation.

GCF(19872,19878) = 6
LCM(19872,19878) = ( 19872 × 19878) / 6
LCM(19872,19878) = 395015616 / 6
LCM(19872,19878) = 65835936

Least Common Multiple (LCM) of 19872 and 19878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19872 and 19878. First we will calculate the prime factors of 19872 and 19878.

Prime Factorization of 19872

Prime Factorization of 19878

Now multiplying the highest exponent prime factors to calculate the LCM of 19872 and 19878.

LCM(19872,19878) = 2⁵ × 3³ × 23¹ × 3313¹
LCM(19872,19878) = 65835936