Find Least Common Multiple of 63252 and 1757 using prime factorisation method.
Answer
LCM( 63252, 1757 ) = 63252
Explanation
Step 1: Write down factorisation of each number:
63252 = 2 · 2 · 3 · 3 · 7 · 251
1757 = 7 · 251
Step 2 : Match primes vertically:
| 63252 | = | 2 | · | 2 | · | 3 | · | 3 | · | 7 | · | 251 |
| 1757 | = | 7 | · | 251 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 63252 | = | 2 | · | 2 | · | 3 | · | 3 | · | 7 | · | 251 | ||
| 1757 | = | 7 | · | 251 | ||||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 7 | · | 251 | = | 63252 |
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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