36.8k views
3 votes
To find lcd by prime numbers you should

User Karolba
by
8.5k points

1 Answer

5 votes
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.
User Vanowm
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.