What is the lcm of 6and 2

1 answer

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.