What is the Least Common Multiple of 17238 and 17256?

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 17238 and 17256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17238 and 17256, than apply into the LCM equation.

GCF(17238,17256) = 6
LCM(17238,17256) = ( 17238 × 17256) / 6
LCM(17238,17256) = 297458928 / 6
LCM(17238,17256) = 49576488

Least Common Multiple (LCM) of 17238 and 17256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17238 and 17256. First we will calculate the prime factors of 17238 and 17256.

Prime Factorization of 17238

Prime Factorization of 17256

Now multiplying the highest exponent prime factors to calculate the LCM of 17238 and 17256.

LCM(17238,17256) = 2³ × 3¹ × 13² × 17¹ × 719¹
LCM(17238,17256) = 49576488