The LCM of the prime number between 1 to 12 is_____.

Options

A. 1000
B. 2020
C. 2310
D. 1010

Answer

To find the LCM (Least Common Multiple) of the prime numbers between 1 and 12, we can follow these steps:

### Step 1: Identify the prime numbers between 1 and 12.
The prime numbers in this range are:
- 2
- 3
- 5
- 7
- 11

### Step 2: Write down the prime numbers.
We have the following prime numbers:
- 2
- 3
- 5
- 7
- 11

### Step 3: Use the formula for LCM of prime numbers.
The LCM of prime numbers is simply the product of those prime numbers because they do not share any common factors other than 1.

### Step 4: Calculate the LCM.
Now, we will multiply these prime numbers together:
\[ \text{LCM} = 2 \times 3 \times 5 \times 7 \times 11 \]

### Step 5: Perform the multiplication step-by-step.
1. Multiply 2 and 3:
\[ 2 \times 3 = 6 \]
2. Multiply the result by 5:
\[ 6 \times 5 = 30 \]
3. Multiply the result by 7:
\[ 30 \times 7 = 210 \]
4. Finally, multiply the result by 11:
\[ 210 \times 11 = 2310 \]

### Conclusion:
The LCM of the prime numbers between 1 and 12 is **2310**.

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