GCF and LCM Calculator Logo

What is the Least Common Multiple of 56586 and 56591?

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 56586 and 56591 is 3202258326.

LCM(56586,56591) = 3202258326

LCM Calculator and
and

Least Common Multiple of 56586 and 56591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56586 and 56591, than apply into the LCM equation.

GCF(56586,56591) = 1
LCM(56586,56591) = ( 56586 × 56591) / 1
LCM(56586,56591) = 3202258326 / 1
LCM(56586,56591) = 3202258326

Least Common Multiple (LCM) of 56586 and 56591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56586 and 56591. First we will calculate the prime factors of 56586 and 56591.

Prime Factorization of 56586

Prime factors of 56586 are 2, 3, 9431. Prime factorization of 56586 in exponential form is:

56586 = 21 × 31 × 94311

Prime Factorization of 56591

Prime factors of 56591 are 56591. Prime factorization of 56591 in exponential form is:

56591 = 565911

Now multiplying the highest exponent prime factors to calculate the LCM of 56586 and 56591.

LCM(56586,56591) = 21 × 31 × 94311 × 565911
LCM(56586,56591) = 3202258326