What is the Least Common Multiple of 66872 and 66885?

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 66885 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 66885, than apply into the LCM equation.

GCF(66872,66885) = 13
LCM(66872,66885) = ( 66872 × 66885) / 13
LCM(66872,66885) = 4472733720 / 13
LCM(66872,66885) = 344056440

Least Common Multiple (LCM) of 66872 and 66885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66872 and 66885. First we will calculate the prime factors of 66872 and 66885.

Prime Factorization of 66872

Prime Factorization of 66885

Now multiplying the highest exponent prime factors to calculate the LCM of 66872 and 66885.

LCM(66872,66885) = 2³ × 13¹ × 643¹ × 3¹ × 5¹ × 7³
LCM(66872,66885) = 344056440