Question
Find Least Common Multiple of 7203 and 1323 using prime factorisation method.
Answer
LCM( 7203, 1323 ) = 64827
Explanation
Step 1: Write down factorisation of each number:
7203 = 3 · 7 · 7 · 7 · 7
1323 = 3 · 3 · 3 · 7 · 7
Step 2 : Match primes vertically:
| 7203 | = | 3 | · | 7 | · | 7 | · | 7 | · | 7 | ||||
| 1323 | = | 3 | · | 3 | · | 3 | · | 7 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 7203 | = | 3 | · | 7 | · | 7 | · | 7 | · | 7 | ||||||
| 1323 | = | 3 | · | 3 | · | 3 | · | 7 | · | 7 | ||||||
| LCM | = | 3 | · | 3 | · | 3 | · | 7 | · | 7 | · | 7 | · | 7 | = | 64827 |
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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