 Mathematics
21 October, 23:20

# Least common multiple of 6 and 2

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1. 22 October, 00:04
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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.
2. 22 October, 00:40
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The least common multiple is 1&2

Step-by-step explanation:

The common multiple of 6 is 1,2,3&6

The common multiple of 2 is 1&2

Therefore the least common multiple of 6 and 2 is 1&2