(LCM) of 13 and 24

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.

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