Question

What is the lcm of 6and 2

Answer 1

To find the least common multiple (LCM) of 6 and 2, we can use the multiples of each number:

- The multiples of 6 are: 6, 12, 18, 24, ...
- The multiples of 2 are: 2, 4, 6, 8, 10, 12, ...

The smallest common multiple in both lists is 6.

Alternatively, you can also find 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 6 and 2:
- GCD(6, 2) = 2

So,

\[
\text{LCM}(6, 2) = \frac{|6 \times 2|}{2} = \frac{12}{2} = 6
\]

Thus, the LCM of 6 and 2 is 6.