Find Least Common Multiple of 55 and 44 using prime factorisation method.
Answer
LCM( 55, 44 ) = 220
Explanation
Step 1: Write down factorisation of each number:
55 = 5 · 11
44 = 2 · 2 · 11
Step 2 : Match primes vertically:
| 55 | = | 5 | · | 11 | ||||
| 44 | = | 2 | · | 2 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 55 | = | 5 | · | 11 | ||||||
| 44 | = | 2 | · | 2 | · | 11 | ||||
| LCM | = | 2 | · | 2 | · | 5 | · | 11 | = | 220 |
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