What is the Least Common Multiple of 17088 and 17104?

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 17088 and 17104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17088 and 17104, than apply into the LCM equation.

GCF(17088,17104) = 16
LCM(17088,17104) = ( 17088 × 17104) / 16
LCM(17088,17104) = 292273152 / 16
LCM(17088,17104) = 18267072

Least Common Multiple (LCM) of 17088 and 17104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17088 and 17104. First we will calculate the prime factors of 17088 and 17104.

Prime Factorization of 17088

Prime Factorization of 17104

Now multiplying the highest exponent prime factors to calculate the LCM of 17088 and 17104.

LCM(17088,17104) = 2⁶ × 3¹ × 89¹ × 1069¹
LCM(17088,17104) = 18267072