What is the Least Common Multiple of 66084 and 66099?

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 66084 and 66099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66084 and 66099, than apply into the LCM equation.

GCF(66084,66099) = 3
LCM(66084,66099) = ( 66084 × 66099) / 3
LCM(66084,66099) = 4368086316 / 3
LCM(66084,66099) = 1456028772

Least Common Multiple (LCM) of 66084 and 66099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66084 and 66099. First we will calculate the prime factors of 66084 and 66099.

Prime Factorization of 66084

Prime Factorization of 66099

Now multiplying the highest exponent prime factors to calculate the LCM of 66084 and 66099.

LCM(66084,66099) = 2² × 3¹ × 5507¹ × 11¹ × 2003¹
LCM(66084,66099) = 1456028772