GCF and LCM Calculator Logo

What is the Least Common Multiple of 27040 and 27056?

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 27040 and 27056 is 45724640.

LCM(27040,27056) = 45724640

LCM Calculator and
and

Least Common Multiple of 27040 and 27056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27040 and 27056, than apply into the LCM equation.

GCF(27040,27056) = 16
LCM(27040,27056) = ( 27040 × 27056) / 16
LCM(27040,27056) = 731594240 / 16
LCM(27040,27056) = 45724640

Least Common Multiple (LCM) of 27040 and 27056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27040 and 27056. First we will calculate the prime factors of 27040 and 27056.

Prime Factorization of 27040

Prime factors of 27040 are 2, 5, 13. Prime factorization of 27040 in exponential form is:

27040 = 25 × 51 × 132

Prime Factorization of 27056

Prime factors of 27056 are 2, 19, 89. Prime factorization of 27056 in exponential form is:

27056 = 24 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 27040 and 27056.

LCM(27040,27056) = 25 × 51 × 132 × 191 × 891
LCM(27040,27056) = 45724640