ISEE Word Problems Question 169: Answer and Explanation
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Question: 169
5. What is the least common multiple of 24 and 32?
- A. 768
- B. 96
- C. 64
- D. 8
Correct Answer: B
Explanation:
The answer is B
Break 24 and 32 into prime factors. The prime factors of 24 are 2, 2, 2, and 3. The prime factors of 32 are 2, 2, 2, 2, and 2. Thus the least common multiple must include the five 2s from 32 and the 3 from 24. The result is 96.
List out the first few multiples for the two numbers until you have a common multiple. The first four multiples of 24 are 24, 48, 72, and 96. The first three multiples of 32 are 32, 64, and 96. Thus, 96 is the least common multiple.