Answer
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Step 1:I'll solve this step-by-step using the LCM method:
Step 2:: Understand the Definition
The Least Common Multiple (LCM) is the smallest positive number that is divisible by both numbers.
Step 3:: List Multiples of 3
Multiples of 3: $$3, 6, 9, 12, 15, 18, \ldots
Step 4:: List Multiples of 6
Multiples of 6: $$6, 12, 18, 24, \ldots
Step 5:: Identify the Smallest Common Multiple
Looking at the lists, we can see that $$6$$ is the smallest number that appears in both sets of multiples.
Step 6:: Verify the LCM
- $$6 \div 3 = 2$$ (whole number)
- 6 \div 6 = 1 (whole number)
Final Answer
Note: Another way to calculate this would be to use the formula: LCM(a,b) = \frac{|a \times b|}{GCD(a,b)}, but in this simple case, direct listing works perfectly.
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