Which pair of numbers has a least common multiple of 18 is it two and six or two and nine or three and six or three and nine?
The least common multiple (LCM) of two numbers is the smallest number that is divisible by both numbers. To find the LCM, we need to list the common multiples of the given pair of numbers until we find the smallest one.
For the pair of numbers (2, 6):
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
Multiples of 6: 6, 12, 18, 24, 30, ...
From the multiples listed, we can see that 18 is the smallest common multiple of 2 and 6.
For the pair of numbers (2, 9):
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
Multiples of 9: 9, 18, 27, ...
From the multiples listed, we can see that 18 is the smallest common multiple of 2 and 9.
For the pair of numbers (3, 6):
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, ...
Multiples of 6: 6, 12, 18, 24, 30, ...
From the multiples listed, we can see that 18 is the smallest common multiple of 3 and 6.
For the pair of numbers (3, 9):
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, ...
Multiples of 9: 9, 18, 27, ...
From the multiples listed, we can see that 18 is the smallest common multiple of 3 and 9.
Therefore, the pair of numbers that has a least common multiple of 18 is (2, 6).