GCF and LCM Calculator Logo

What is the Least Common Multiple of 56845 and 56864?

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 56845 and 56864 is 3232434080.

LCM(56845,56864) = 3232434080

LCM Calculator and
and

Least Common Multiple of 56845 and 56864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56845 and 56864, than apply into the LCM equation.

GCF(56845,56864) = 1
LCM(56845,56864) = ( 56845 × 56864) / 1
LCM(56845,56864) = 3232434080 / 1
LCM(56845,56864) = 3232434080

Least Common Multiple (LCM) of 56845 and 56864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56845 and 56864. First we will calculate the prime factors of 56845 and 56864.

Prime Factorization of 56845

Prime factors of 56845 are 5, 11369. Prime factorization of 56845 in exponential form is:

56845 = 51 × 113691

Prime Factorization of 56864

Prime factors of 56864 are 2, 1777. Prime factorization of 56864 in exponential form is:

56864 = 25 × 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 56845 and 56864.

LCM(56845,56864) = 51 × 113691 × 25 × 17771
LCM(56845,56864) = 3232434080