Answer: 6
Step-by-step explanation: To find the least common multiple or lcm of 6 and 2, begin by listing the first few multiples of each number.
Multiples of 6
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.
Multiples of 2
1 × 2 = 2 "not a multiple of 6"
2 × 2 = 4 "not a multiple of 6"
3 x 2 = 6 ← ""is a multiple of 6"
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.
