GCF and LCM Calculator Logo

What is the Least Common Multiple of 57315 and 57325?

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 57315 and 57325 is 657116475.

LCM(57315,57325) = 657116475

LCM Calculator and
and

Least Common Multiple of 57315 and 57325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57315 and 57325, than apply into the LCM equation.

GCF(57315,57325) = 5
LCM(57315,57325) = ( 57315 × 57325) / 5
LCM(57315,57325) = 3285582375 / 5
LCM(57315,57325) = 657116475

Least Common Multiple (LCM) of 57315 and 57325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57315 and 57325. First we will calculate the prime factors of 57315 and 57325.

Prime Factorization of 57315

Prime factors of 57315 are 3, 5, 3821. Prime factorization of 57315 in exponential form is:

57315 = 31 × 51 × 38211

Prime Factorization of 57325

Prime factors of 57325 are 5, 2293. Prime factorization of 57325 in exponential form is:

57325 = 52 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 57315 and 57325.

LCM(57315,57325) = 31 × 52 × 38211 × 22931
LCM(57315,57325) = 657116475