# Finding the Least Common Multiple (LCM) of 13 and 24

In mathematics, finding the Least Common Multiple (LCM) of two numbers is a common task, often encountered in various problem-solving scenarios. LCM represents the smallest positive integer that is divisible by both of the given numbers without leaving a remainder.

## II. Prime Factorization Method

To compute the LCM of 13 and 24, one method involves prime factorization.

## III. Listing Multiples

### A. Multiples of 13

The multiples of 13 are obtained by multiplying 13 by consecutive positive integers. These multiples include 13, 26, 39, 52, 65, and so on.

### B. Multiples of 24

Similarly, the multiples of 24 are generated by multiplying 24 by successive whole numbers. These multiples include 24, 48, 72, 96, 120, and so forth.

### C. Finding Common Multiples

To find the LCM, we need to identify the common multiples shared by both 13 and 24.

## IV. Using the Formula

One efficient way to find the LCM is by utilizing the formula that involves the prime factors of the given numbers.

## V. Conclusion

In conclusion, the LCM of 13 and 24 is a crucial concept in mathematics, often employed in various real-life situations and problem-solving scenarios.