What is the Least Common Multiple of 17256 and 17274?

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 17256 and 17274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17256 and 17274, than apply into the LCM equation.

GCF(17256,17274) = 6
LCM(17256,17274) = ( 17256 × 17274) / 6
LCM(17256,17274) = 298080144 / 6
LCM(17256,17274) = 49680024

Least Common Multiple (LCM) of 17256 and 17274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17256 and 17274. First we will calculate the prime factors of 17256 and 17274.

Prime Factorization of 17256

Prime Factorization of 17274

Now multiplying the highest exponent prime factors to calculate the LCM of 17256 and 17274.

LCM(17256,17274) = 2³ × 3¹ × 719¹ × 2879¹
LCM(17256,17274) = 49680024