What is the Least Common Multiple of 17152 and 17168?

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 17152 and 17168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17152 and 17168, than apply into the LCM equation.

GCF(17152,17168) = 16
LCM(17152,17168) = ( 17152 × 17168) / 16
LCM(17152,17168) = 294465536 / 16
LCM(17152,17168) = 18404096

Least Common Multiple (LCM) of 17152 and 17168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17152 and 17168. First we will calculate the prime factors of 17152 and 17168.

Prime Factorization of 17152

Prime Factorization of 17168

Now multiplying the highest exponent prime factors to calculate the LCM of 17152 and 17168.

LCM(17152,17168) = 2⁸ × 67¹ × 29¹ × 37¹
LCM(17152,17168) = 18404096