What is the Least Common Multiple of 17408 and 17417?

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 17408 and 17417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17408 and 17417, than apply into the LCM equation.

GCF(17408,17417) = 1
LCM(17408,17417) = ( 17408 × 17417) / 1
LCM(17408,17417) = 303195136 / 1
LCM(17408,17417) = 303195136

Least Common Multiple (LCM) of 17408 and 17417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17408 and 17417. First we will calculate the prime factors of 17408 and 17417.

Prime Factorization of 17408

Prime Factorization of 17417

Now multiplying the highest exponent prime factors to calculate the LCM of 17408 and 17417.

LCM(17408,17417) = 2¹⁰ × 17¹ × 17417¹
LCM(17408,17417) = 303195136