LCM( 165, 143 ) = 2145
Step 1: Write down factorisation of each number:
165 = 3 · 5 · 11
143 = 11 · 13
Step 2 : Match primes vertically:
165 | = | 3 | · | 5 | · | 11 | ||
143 | = | 11 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
165 | = | 3 | · | 5 | · | 11 | ||||
143 | = | 11 | · | 13 | ||||||
LCM | = | 3 | · | 5 | · | 11 | · | 13 | = | 2145 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.