GCF and LCM Calculator Logo

What is the Least Common Multiple of 57295 and 57299?

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 57295 and 57299 is 3282946205.

LCM(57295,57299) = 3282946205

LCM Calculator and
and

Least Common Multiple of 57295 and 57299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57295 and 57299, than apply into the LCM equation.

GCF(57295,57299) = 1
LCM(57295,57299) = ( 57295 × 57299) / 1
LCM(57295,57299) = 3282946205 / 1
LCM(57295,57299) = 3282946205

Least Common Multiple (LCM) of 57295 and 57299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57295 and 57299. First we will calculate the prime factors of 57295 and 57299.

Prime Factorization of 57295

Prime factors of 57295 are 5, 7, 1637. Prime factorization of 57295 in exponential form is:

57295 = 51 × 71 × 16371

Prime Factorization of 57299

Prime factors of 57299 are 11, 5209. Prime factorization of 57299 in exponential form is:

57299 = 111 × 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 57295 and 57299.

LCM(57295,57299) = 51 × 71 × 16371 × 111 × 52091
LCM(57295,57299) = 3282946205