What is the Least Common Multiple of 17056 and 17069?

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 17056 and 17069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17056 and 17069, than apply into the LCM equation.

GCF(17056,17069) = 13
LCM(17056,17069) = ( 17056 × 17069) / 13
LCM(17056,17069) = 291128864 / 13
LCM(17056,17069) = 22394528

Least Common Multiple (LCM) of 17056 and 17069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17056 and 17069. First we will calculate the prime factors of 17056 and 17069.

Prime Factorization of 17056

Prime Factorization of 17069

Now multiplying the highest exponent prime factors to calculate the LCM of 17056 and 17069.

LCM(17056,17069) = 2⁵ × 13² × 41¹ × 101¹
LCM(17056,17069) = 22394528