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What is the LCM of 12 and 20?

51. What is the LCM of 12 and 20?

1. 120
2. 80
3. 60
4. 100

Answer

The correct answer is: C) 60

Explanation

The explanation is:

• The prime factors of 12 are 2² and 3 (since 12 = 2 * 2 * 3).
• The prime factors of 20 are 2² and 5(since 20 = 2 * 2 * 5).
• Now, taking the greatest possible power of each prime factor from both numbers, in this case, 2²,3¹,5¹
• Multiply all the highest powers together to get the LCM.
• LCM = 2² * 3¹ * 5¹ = 4 * 3 * 5 = 60
• Therefore, the LCM of 12 and 20 is 60.