Answer: 6
Step-by-step explanation: To find the least common multiple or <em>lcm</em> of 6 and 2, begin by listing the first few multiples of each number.
<u><em>Multiples of 6</em></u>
1 × 6 = 6
2 × 6 = 12
3 × 6 = 18
Notice that we skipped 0 × 6 in our list of multiples. That's because 0 × 6 is 0 and our least common multiple can't be 0.
When listing the multiples of 2, it's a good idea to keep an eye on the list of multiples for 6 so that we'll notice when we find a least common multiple.
<u><em>Multiples of 2</em></u>
1 × 2 = 2 <em>"not a multiple of 6"</em>
2 × 2 = 4 <em>"not a multiple of 6"</em>
3 x 2 = 6 ← "<em>"is a multiple of 6"</em>
Notice that we can stop here because all other multiples that we find will be greater than 6. So the least common multiple of 6 and 2 is 6.