Question:
What is the LCM of 12 and 18?
What is the LCM of 12 and 18?
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For LCM, use prime factorization and take the highest power of each prime.
Updated On: Mar 23, 2026
- 24
- 36
- 48
- 72
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The Correct Option is B
Solution and Explanation
The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of 12 and 18, we can follow these steps:
- Write down the prime factorization of each number.
- 12 = 22 × 3
- 18 = 2 × 32
- Identify the highest power of each prime number from the factorizations.
- For the prime number 2, the highest power is 22.
- For the prime number 3, the highest power is 32.
- Multiply these highest powers to find the LCM.LCM = 22 × 32 = 4 × 9 = 36
Thus, the LCM of 12 and 18 is 36.
| Options |
|---|
| 24 |
| 36 |
| 48 |
| 72 |
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