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 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 Factorization of 27056

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