What is the Least Common Multiple of 17234 and 17254?

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 17234 and 17254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17234 and 17254, than apply into the LCM equation.

GCF(17234,17254) = 2
LCM(17234,17254) = ( 17234 × 17254) / 2
LCM(17234,17254) = 297355436 / 2
LCM(17234,17254) = 148677718

Least Common Multiple (LCM) of 17234 and 17254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17234 and 17254. First we will calculate the prime factors of 17234 and 17254.

Prime Factorization of 17234

Prime Factorization of 17254

Now multiplying the highest exponent prime factors to calculate the LCM of 17234 and 17254.

LCM(17234,17254) = 2¹ × 7¹ × 1231¹ × 8627¹
LCM(17234,17254) = 148677718