Finding the Least Common Multiple (LCM) of numbers is a fundamental concept in mathematics. In this article, we will explore how to calculate the **LCM of 67**, a prime number, and its implications when combined with other numbers.

## What is LCM?

The **LCM (Least Common Multiple)** of two or more numbers is the smallest number that is a multiple of each of the numbers. It is widely used in math problems involving fractions, ratios, and when dealing with common denominators.

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## How to Calculate the LCM of 67?

Since 67 is a **prime number**, calculating the **LCM** is straightforward when dealing with other numbers.

### LCM of 67 and another number (Example: 67 and 2)

**Prime Factorization Method**:

- The prime factorization of 67 is simply 67 (since it’s a prime number).

- The prime factorization of 2 is just 2.

Therefore: LCM(67,2)=67×2=134

**Common Multiples Method**: You can also find the **LCM of 67** by listing the multiples of both numbers. Let’s look at the first few multiples of each:

- Multiples of 67: 67, 134, 201, 268, 335…
- Multiples of 2: 2, 4, 6, 8, 10, 12, 14, …, 134

### LCM of 67 with another prime number (Example: 67 and 13)

Both 67 and 13 are prime numbers, so to find the **LCM**, you simply multiply the two numbers: LCM(67,13)=67×13=871

### Key Points to Remember

**67 is a prime number**, so the LCM of 67 and any other prime number is just the product of the two numbers.- The
**LCM**is useful in problems involving adding, subtracting, or comparing fractions with different denominators.

### FAQ: Frequently Asked Questions About LCM of 67

### 1. What is the LCM of 67 and 1?

Since 1 is a factor of every number, the **LCM of 67 and 1** is simply 67.

### 2. Can you find the LCM of 67 and 0?

Any number multiplied by 0 is 0. Therefore, when dealing with LCM calculations involving 0, the LCM is undefined.

### 3. Why is 67 a special number for LCM calculations?

67 is a prime number, which makes LCM calculations simpler because prime numbers have no divisors other than 1 and the number itself. This property allows for faster calculations when finding the **LCM of 67** with other numbers.

### Conclusion

Understanding how to calculate the **LCM of 67** is crucial for solving a wide range of mathematical problems. Since 67 is a prime number, finding the **LCM** with other numbers is usually a simple process of multiplication. Whether you’re tackling math homework or looking for practical applications, knowing how to calculate the **Least Common Multiple of 67** can be incredibly useful.

By following the methods discussed, you can quickly determine the **LCM of 67** with any other number, ensuring accuracy in your math calculations.

*This article is designed to help readers find quick and easy methods for calculating the LCM of 67 and ensure their mathematical skills remain sharp. Don’t forget to bookmark this guide for future reference.*