GCF and LCM Calculator Logo

What is the Least Common Multiple of 56056 and 56065?

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 56056 and 56065 is 3142779640.

LCM(56056,56065) = 3142779640

LCM Calculator and
and

Least Common Multiple of 56056 and 56065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56056 and 56065, than apply into the LCM equation.

GCF(56056,56065) = 1
LCM(56056,56065) = ( 56056 × 56065) / 1
LCM(56056,56065) = 3142779640 / 1
LCM(56056,56065) = 3142779640

Least Common Multiple (LCM) of 56056 and 56065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56056 and 56065. First we will calculate the prime factors of 56056 and 56065.

Prime Factorization of 56056

Prime factors of 56056 are 2, 7, 11, 13. Prime factorization of 56056 in exponential form is:

56056 = 23 × 72 × 111 × 131

Prime Factorization of 56065

Prime factors of 56065 are 5, 11213. Prime factorization of 56065 in exponential form is:

56065 = 51 × 112131

Now multiplying the highest exponent prime factors to calculate the LCM of 56056 and 56065.

LCM(56056,56065) = 23 × 72 × 111 × 131 × 51 × 112131
LCM(56056,56065) = 3142779640