What is the Least Common Multiple of 66168 and 66174?

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 66168 and 66174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66168 and 66174, than apply into the LCM equation.

GCF(66168,66174) = 6
LCM(66168,66174) = ( 66168 × 66174) / 6
LCM(66168,66174) = 4378601232 / 6
LCM(66168,66174) = 729766872

Least Common Multiple (LCM) of 66168 and 66174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66168 and 66174. First we will calculate the prime factors of 66168 and 66174.

Prime Factorization of 66168

Prime Factorization of 66174

Now multiplying the highest exponent prime factors to calculate the LCM of 66168 and 66174.

LCM(66168,66174) = 2³ × 3² × 919¹ × 41¹ × 269¹
LCM(66168,66174) = 729766872