What is the Least Common Multiple of 57168 and 57184?

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 57184 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 57184, than apply into the LCM equation.

GCF(57168,57184) = 16
LCM(57168,57184) = ( 57168 × 57184) / 16
LCM(57168,57184) = 3269094912 / 16
LCM(57168,57184) = 204318432

Least Common Multiple (LCM) of 57168 and 57184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57168 and 57184. First we will calculate the prime factors of 57168 and 57184.

Prime Factorization of 57168

Prime Factorization of 57184

Now multiplying the highest exponent prime factors to calculate the LCM of 57168 and 57184.

LCM(57168,57184) = 2⁵ × 3² × 397¹ × 1787¹
LCM(57168,57184) = 204318432