What is the Least Common Multiple of 57168 and 57174?

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 57168 and 57174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57168 and 57174, than apply into the LCM equation.

GCF(57168,57174) = 6
LCM(57168,57174) = ( 57168 × 57174) / 6
LCM(57168,57174) = 3268523232 / 6
LCM(57168,57174) = 544753872

Least Common Multiple (LCM) of 57168 and 57174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57168 and 57174. First we will calculate the prime factors of 57168 and 57174.

Prime Factorization of 57168

Prime Factorization of 57174

Now multiplying the highest exponent prime factors to calculate the LCM of 57168 and 57174.

LCM(57168,57174) = 2⁴ × 3² × 397¹ × 13¹ × 733¹
LCM(57168,57174) = 544753872