What is the Least Common Multiple of 3168 and 3174?

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 3168 and 3174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3168 and 3174, than apply into the LCM equation.

GCF(3168,3174) = 6
LCM(3168,3174) = ( 3168 × 3174) / 6
LCM(3168,3174) = 10055232 / 6
LCM(3168,3174) = 1675872

Least Common Multiple (LCM) of 3168 and 3174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3168 and 3174. First we will calculate the prime factors of 3168 and 3174.

Prime Factorization of 3168

Prime Factorization of 3174

Now multiplying the highest exponent prime factors to calculate the LCM of 3168 and 3174.

LCM(3168,3174) = 2⁵ × 3² × 11¹ × 23²
LCM(3168,3174) = 1675872