LCM( 117, 221 ) = 1989
Step 1: Write down factorisation of each number:
117 = 3 · 3 · 13
221 = 13 · 17
Step 2 : Match primes vertically:
117 | = | 3 | · | 3 | · | 13 | ||
221 | = | 13 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
117 | = | 3 | · | 3 | · | 13 | ||||
221 | = | 13 | · | 17 | ||||||
LCM | = | 3 | · | 3 | · | 13 | · | 17 | = | 1989 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.