Find Least Common Multiple of 85 and 32 using prime factorisation method.
Answer
LCM( 85, 32 ) = 2720
Explanation
Step 1: Write down factorisation of each number:
85 = 5 · 17
32 = 2 · 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
| 85 | = | 5 | · | 17 | ||||||||||
| 32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 85 | = | 5 | · | 17 | ||||||||||||
| 32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | · | 17 | = | 2720 |
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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