What is the Least Common Multiple of 17056 and 17074?

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 17074 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 17074, than apply into the LCM equation.

GCF(17056,17074) = 2
LCM(17056,17074) = ( 17056 × 17074) / 2
LCM(17056,17074) = 291214144 / 2
LCM(17056,17074) = 145607072

Least Common Multiple (LCM) of 17056 and 17074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17056 and 17074. First we will calculate the prime factors of 17056 and 17074.

Prime Factorization of 17056

Prime Factorization of 17074

Now multiplying the highest exponent prime factors to calculate the LCM of 17056 and 17074.

LCM(17056,17074) = 2⁵ × 13¹ × 41¹ × 8537¹
LCM(17056,17074) = 145607072