Question
Find Least Common Multiple of 14 and 16 using prime factorisation method.
Answer
LCM( 14, 16 ) = 112
Explanation
Step 1: Write down factorisation of each number:
14 = 2 · 7
16 = 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
| 14 | = | 2 | · | 7 | ||||||
| 16 | = | 2 | · | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 14 | = | 2 | · | 7 | ||||||||
| 16 | = | 2 | · | 2 | · | 2 | · | 2 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 | = | 112 |
This solution can be visualized using a Venn diagram.
0,0
14
16
2
7
2
2
2
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator