Find Least Common Multiple of 16 and 8 using prime factorisation method.
Answer
LCM( 16, 8 ) = 16
Explanation
Step 1: Write down factorisation of each number:
16 = 2 · 2 · 2 · 2
8 = 2 · 2 · 2
Step 2 : Match primes vertically:
| 16 | = | 2 | · | 2 | · | 2 | · | 2 |
| 8 | = | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 16 | = | 2 | · | 2 | · | 2 | · | 2 | ||
| 8 | = | 2 | · | 2 | · | 2 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | = | 16 |
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