What is the Least Common Multiple of 12174 and 12184?

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 12174 and 12184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12174 and 12184, than apply into the LCM equation.

GCF(12174,12184) = 2
LCM(12174,12184) = ( 12174 × 12184) / 2
LCM(12174,12184) = 148328016 / 2
LCM(12174,12184) = 74164008

Least Common Multiple (LCM) of 12174 and 12184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12174 and 12184. First we will calculate the prime factors of 12174 and 12184.

Prime Factorization of 12174

Prime Factorization of 12184

Now multiplying the highest exponent prime factors to calculate the LCM of 12174 and 12184.

LCM(12174,12184) = 2³ × 3¹ × 2029¹ × 1523¹
LCM(12174,12184) = 74164008