Find the least common multiple of 2 and 12.(1 point) Responses 36 36 2 2 12 12 24
The least common multiple of 2 and 12 is 12.
To find the least common multiple (LCM) of 2 and 12, we can list the multiples of each number and find the lowest multiple that appears in both lists.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ...
Multiples of 12: 12, 24, 36, 48, 60, 72, ...
As we can see, the least common multiple that appears in both lists is 12.
Therefore, the least common multiple of 2 and 12 is 12.
To find the least common multiple (LCM) of two numbers, such as 2 and 12, you can use the following steps:
1. List the multiples of each number until you find a common multiple.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ...
Multiples of 12: 12, 24, 36, 48, 60, ...
From the lists above, we can see that 12 is the smallest common multiple.
Therefore, the LCM of 2 and 12 is 12.