What is the Least Common Multiple of 17408 and 17412?

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 17412 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 17412, than apply into the LCM equation.

GCF(17408,17412) = 4
LCM(17408,17412) = ( 17408 × 17412) / 4
LCM(17408,17412) = 303108096 / 4
LCM(17408,17412) = 75777024

Least Common Multiple (LCM) of 17408 and 17412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17408 and 17412. First we will calculate the prime factors of 17408 and 17412.

Prime Factorization of 17408

Prime Factorization of 17412

Now multiplying the highest exponent prime factors to calculate the LCM of 17408 and 17412.

LCM(17408,17412) = 2¹⁰ × 17¹ × 3¹ × 1451¹
LCM(17408,17412) = 75777024