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.
