1. **State the problem:** Find the least common multiple (LCM) of the algebraic terms $2a$ and $6a$. 2. **Factor each term:** - $2a = 2 \times a$ - $6a = 6 \times a = 2 \times 3 \times a$ 3. **Identify the prime factors and variables:** - For $2a$: factors are $2$ and $a$ - For $6a$: factors are $2$, $3$, and $a$ 4. **Find the LCM:** - Take the highest power of each prime factor and variable present in either term. - For $2$: highest power is $2^1$ - For $3$: highest power is $3^1$ - For $a$: highest power is $a^1$ 5. **Multiply these together:** $$\text{LCM} = 2 \times 3 \times a = 6a$$ **Final answer:** The LCM of $2a$ and $6a$ is $6a$.