Answer: 24
Step-by-step explanation: To find the least common multiple or (lcm) of 6 and 8, begin by listing the first few multiples of each number.
<u>Multiples of 6</u>
1 × 6 = 6
2 × 6 = 12
3 × 6 = 18
4 × 6 = 24
Notice that we skipped 0 × 6 in our list of multiples and that's because 0 multiplied by 6 is 0 and our least common multiple can't be 0.
Now, let's list the multiple of 8. When listing the multiples of 8, it's a good idea to keep an eye on the list of multiples for 6 so we will notice when we find a least common multiple.
<u>Multiples of 8</u>
1 × 8 = 8 ← not a multiple of 6
2 × 8 = 16 ← not a multiple of 6
3 × 8 = 24 ← is a multiple of 6
Notice that we can stop here because all other multiples that we find will be greater than 24.
Therefore, the least common multiple or (lcm) of 6 and 8 is 24.
