GCF and LCM Calculator Logo

What is the Least Common Multiple of 56813 and 56829?

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 56813 and 56829 is 3228625977.

LCM(56813,56829) = 3228625977

LCM Calculator and
and

Least Common Multiple of 56813 and 56829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56813 and 56829, than apply into the LCM equation.

GCF(56813,56829) = 1
LCM(56813,56829) = ( 56813 × 56829) / 1
LCM(56813,56829) = 3228625977 / 1
LCM(56813,56829) = 3228625977

Least Common Multiple (LCM) of 56813 and 56829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56813 and 56829. First we will calculate the prime factors of 56813 and 56829.

Prime Factorization of 56813

Prime factors of 56813 are 56813. Prime factorization of 56813 in exponential form is:

56813 = 568131

Prime Factorization of 56829

Prime factors of 56829 are 3, 19, 997. Prime factorization of 56829 in exponential form is:

56829 = 31 × 191 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 56813 and 56829.

LCM(56813,56829) = 568131 × 31 × 191 × 9971
LCM(56813,56829) = 3228625977