Find Least Common Multiple of 17 and 64 using prime factorisation method.
Answer
LCM( 17, 64 ) = 1088
Explanation
Step 1: Write down factorisation of each number:
17 = 17
64 = 2 · 2 · 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
| 17 | = | 17 | ||||||||||||
| 64 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 17 | = | 17 | ||||||||||||||
| 64 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 17 | = | 1088 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator