Questions: Use multiples of the larger number to find the LCM of this set of numbers. 21 and 9

Use multiples of the larger number to find the LCM of this set of numbers. 21 and 9
Transcript text: Use multiples of the larger number to find the LCM of this set of numbers. 21 and 9
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Solution

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Solution Steps

To find the Least Common Multiple (LCM) of two numbers, we can use the multiples of the larger number and check which is the first multiple that is also divisible by the smaller number. This approach involves iterating through the multiples of the larger number until we find one that is divisible by the smaller number.

Step 1: Identify the Larger and Smaller Numbers

Given the numbers 21 and 9, we first identify the larger number, which is 21, and the smaller number, which is 9.

Step 2: Find Multiples of the Larger Number

We begin by listing the multiples of the larger number, 21. These multiples are \(21, 42, 63, 84, \ldots\).

Step 3: Check Divisibility by the Smaller Number

We check each multiple of 21 to see if it is divisible by 9. The first multiple of 21 that is divisible by 9 is 63, since \(63 \div 9 = 7\).

Final Answer

\(\boxed{63}\)

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