GCF and LCM Calculator Logo

What is the Least Common Multiple of 56854 and 56873?

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 56854 and 56873 is 3233457542.

LCM(56854,56873) = 3233457542

LCM Calculator and
and

Least Common Multiple of 56854 and 56873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56854 and 56873, than apply into the LCM equation.

GCF(56854,56873) = 1
LCM(56854,56873) = ( 56854 × 56873) / 1
LCM(56854,56873) = 3233457542 / 1
LCM(56854,56873) = 3233457542

Least Common Multiple (LCM) of 56854 and 56873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56854 and 56873. First we will calculate the prime factors of 56854 and 56873.

Prime Factorization of 56854

Prime factors of 56854 are 2, 7, 31, 131. Prime factorization of 56854 in exponential form is:

56854 = 21 × 71 × 311 × 1311

Prime Factorization of 56873

Prime factors of 56873 are 56873. Prime factorization of 56873 in exponential form is:

56873 = 568731

Now multiplying the highest exponent prime factors to calculate the LCM of 56854 and 56873.

LCM(56854,56873) = 21 × 71 × 311 × 1311 × 568731
LCM(56854,56873) = 3233457542