What is the Least Common Multiple of 66872 and 66888?

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 66872 and 66888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66872 and 66888, than apply into the LCM equation.

GCF(66872,66888) = 8
LCM(66872,66888) = ( 66872 × 66888) / 8
LCM(66872,66888) = 4472934336 / 8
LCM(66872,66888) = 559116792

Least Common Multiple (LCM) of 66872 and 66888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66872 and 66888. First we will calculate the prime factors of 66872 and 66888.

Prime Factorization of 66872

Prime Factorization of 66888

Now multiplying the highest exponent prime factors to calculate the LCM of 66872 and 66888.

LCM(66872,66888) = 2³ × 13¹ × 643¹ × 3² × 929¹
LCM(66872,66888) = 559116792