What is the Least Common Multiple of 66854 and 66872?

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 66854 and 66872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66854 and 66872, than apply into the LCM equation.

GCF(66854,66872) = 2
LCM(66854,66872) = ( 66854 × 66872) / 2
LCM(66854,66872) = 4470660688 / 2
LCM(66854,66872) = 2235330344

Least Common Multiple (LCM) of 66854 and 66872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66854 and 66872. First we will calculate the prime factors of 66854 and 66872.

Prime Factorization of 66854

Prime Factorization of 66872

Now multiplying the highest exponent prime factors to calculate the LCM of 66854 and 66872.

LCM(66854,66872) = 2³ × 33427¹ × 13¹ × 643¹
LCM(66854,66872) = 2235330344