What is the Least Common Multiple of 17024 and 17038?

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 17024 and 17038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17024 and 17038, than apply into the LCM equation.

GCF(17024,17038) = 14
LCM(17024,17038) = ( 17024 × 17038) / 14
LCM(17024,17038) = 290054912 / 14
LCM(17024,17038) = 20718208

Least Common Multiple (LCM) of 17024 and 17038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17024 and 17038. First we will calculate the prime factors of 17024 and 17038.

Prime Factorization of 17024

Prime Factorization of 17038

Now multiplying the highest exponent prime factors to calculate the LCM of 17024 and 17038.

LCM(17024,17038) = 2⁷ × 7¹ × 19¹ × 1217¹
LCM(17024,17038) = 20718208