GCF and LCM Calculator Logo

What is the Least Common Multiple of 57184 and 57190?

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 57190 is 1635176480.

LCM(57184,57190) = 1635176480

LCM Calculator and
and

Least Common Multiple of 57184 and 57190 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 57190, than apply into the LCM equation.

GCF(57184,57190) = 2
LCM(57184,57190) = ( 57184 × 57190) / 2
LCM(57184,57190) = 3270352960 / 2
LCM(57184,57190) = 1635176480

Least Common Multiple (LCM) of 57184 and 57190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57184 and 57190. First we will calculate the prime factors of 57184 and 57190.

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 57190

Prime factors of 57190 are 2, 5, 7, 19, 43. Prime factorization of 57190 in exponential form is:

57190 = 21 × 51 × 71 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 57184 and 57190.

LCM(57184,57190) = 25 × 17871 × 51 × 71 × 191 × 431
LCM(57184,57190) = 1635176480