What is the Least Common Multiple of 12084 and 12099?

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 12084 and 12099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12084 and 12099, than apply into the LCM equation.

GCF(12084,12099) = 3
LCM(12084,12099) = ( 12084 × 12099) / 3
LCM(12084,12099) = 146204316 / 3
LCM(12084,12099) = 48734772

Least Common Multiple (LCM) of 12084 and 12099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12084 and 12099. First we will calculate the prime factors of 12084 and 12099.

Prime Factorization of 12084

Prime Factorization of 12099

Now multiplying the highest exponent prime factors to calculate the LCM of 12084 and 12099.

LCM(12084,12099) = 2² × 3¹ × 19¹ × 53¹ × 37¹ × 109¹
LCM(12084,12099) = 48734772