What is the Least Common Multiple of 12165 and 12174?

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 12165 and 12174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12165 and 12174, than apply into the LCM equation.

GCF(12165,12174) = 3
LCM(12165,12174) = ( 12165 × 12174) / 3
LCM(12165,12174) = 148096710 / 3
LCM(12165,12174) = 49365570

Least Common Multiple (LCM) of 12165 and 12174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12165 and 12174. First we will calculate the prime factors of 12165 and 12174.

Prime Factorization of 12165

Prime Factorization of 12174

Now multiplying the highest exponent prime factors to calculate the LCM of 12165 and 12174.

LCM(12165,12174) = 3¹ × 5¹ × 811¹ × 2¹ × 2029¹
LCM(12165,12174) = 49365570