California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What is the least common multiple of 4 and 5?

The correct answer is: 20

To determine the least common multiple (LCM) of 4 and 5, we start by examining their multiples. The multiples of 4 are 4, 8, 12, 16, 20, 24, and so forth. The multiples of 5 are 5, 10, 15, 20, 25, and so on. The next step is to find the smallest number that appears in both lists. By going through the lists of multiples, we see that 20 is the first number that is common to both lists. Therefore, the least common multiple of 4 and 5 is 20. The concept of LCM is essential for finding common denominators in fractions, solving problems that involve multiple cycles or events occurring together, and various applications in number theory. The correct choice illustrates that understanding the nature of multiples and how they interact leads to finding the smallest shared value efficiently.