what is the least common multiple of 6 and 8?

Explanation:

Step1: Prime - factorize the numbers

$6 = 2\times3$; $8 = 2\times2\times2$

Step2: Determine the highest - power factors

For factor 2, the highest power is $2^3$ (from 8). For factor 3, the highest power is $3^1$ (from 6).

Step3: Calculate the LCM

$LCM(6,8)=2^3\times3^1 = 8\times3=24$

Answer:

24