What is the Least Common Multiple of 3084 and 3093?

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 3084 and 3093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3084 and 3093, than apply into the LCM equation.

GCF(3084,3093) = 3
LCM(3084,3093) = ( 3084 × 3093) / 3
LCM(3084,3093) = 9538812 / 3
LCM(3084,3093) = 3179604

Least Common Multiple (LCM) of 3084 and 3093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3084 and 3093. First we will calculate the prime factors of 3084 and 3093.

Prime Factorization of 3084

Prime Factorization of 3093

Now multiplying the highest exponent prime factors to calculate the LCM of 3084 and 3093.

LCM(3084,3093) = 2² × 3¹ × 257¹ × 1031¹
LCM(3084,3093) = 3179604