What is the Least Common Multiple of 17046 and 17056?

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 17046 and 17056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17046 and 17056, than apply into the LCM equation.

GCF(17046,17056) = 2
LCM(17046,17056) = ( 17046 × 17056) / 2
LCM(17046,17056) = 290736576 / 2
LCM(17046,17056) = 145368288

Least Common Multiple (LCM) of 17046 and 17056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17046 and 17056. First we will calculate the prime factors of 17046 and 17056.

Prime Factorization of 17046

Prime Factorization of 17056

Now multiplying the highest exponent prime factors to calculate the LCM of 17046 and 17056.

LCM(17046,17056) = 2⁵ × 3² × 947¹ × 13¹ × 41¹
LCM(17046,17056) = 145368288