GCF and LCM Calculator Logo

What is the Least Common Multiple of 57184 and 57189?

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 (LCM) of 57184 and 57189 is 3270295776.

LCM(57184,57189) = 3270295776

LCM Calculator and
and

Least Common Multiple of 57184 and 57189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57184 and 57189, than apply into the LCM equation.

GCF(57184,57189) = 1
LCM(57184,57189) = ( 57184 × 57189) / 1
LCM(57184,57189) = 3270295776 / 1
LCM(57184,57189) = 3270295776

Least Common Multiple (LCM) of 57184 and 57189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57184 and 57189. First we will calculate the prime factors of 57184 and 57189.

Prime Factorization of 57184

Prime factors of 57184 are 2, 1787. Prime factorization of 57184 in exponential form is:

57184 = 25 × 17871

Prime Factorization of 57189

Prime factors of 57189 are 3, 11, 1733. Prime factorization of 57189 in exponential form is:

57189 = 31 × 111 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 57184 and 57189.

LCM(57184,57189) = 25 × 17871 × 31 × 111 × 17331
LCM(57184,57189) = 3270295776