Find Least Common Multiple of 26 and 32 using prime factorisation method.
Answer
LCM( 26, 32 ) = 416
Explanation
Step 1: Write down factorisation of each number:
26 = 2 · 13
32 = 2 · 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
| 26 | = | 2 | · | 13 | ||||||||
| 32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 26 | = | 2 | · | 13 | ||||||||||
| 32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 13 | = | 416 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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