lcm of 10 and 2

Answer 1

To find the least common multiple (LCM) of 10 and 2, you can use the following method:

1. List the multiples:

   • Multiples of 10: 10, 20, 30, 40, ...
   • Multiples of 2: 2, 4, 6, 8, 10, 12, ...

2. Identify the smallest common multiple: The smallest multiple that appears in both lists is 10.

So, the LCM of 10 and 2 is 10.

You can also calculate the LCM using the formula: \[ \text{LCM}(a, b) = \frac{|a \times b|}{\text{GCD}(a, b)} \] where GCD is the greatest common divisor.

For 10 and 2:

• The GCD of 10 and 2 is 2.
• Therefore, the LCM is: \[ \text{LCM}(10, 2) = \frac{|10 \times 2|}{\text{GCD}(10, 2)} = \frac{20}{2} = 10 \]

Both methods confirm that the LCM of 10 and 2 is 10.