To find the Least Common Denominator (LCD) using prime numbers, follow these steps:
1. **Prime Factorization:** First, find the prime factors of each denominator involved in the problem.
2. **Identify Unique Prime Factors:** List all the unique prime factors obtained from step 1.
3. **Multiply the Unique Prime Factors:** Multiply all the unique prime factors together. This product will be the LCD.
Here's an example to illustrate the process:
Let's say you want to find the LCD of 6 and 10.
1. **Prime Factorization:**
- \(6 = 2 \times 3\) (prime factors of 6 are 2 and 3)
- \(10 = 2 \times 5\) (prime factors of 10 are 2 and 5)
2. **Unique Prime Factors:**
- Unique prime factors: 2, 3, 5
3. **Multiply Unique Prime Factors:**
- \(LCD = 2 \times 3 \times 5 = 30\)
So, the Least Common Denominator of 6 and 10 is 30.