LCM( 13, 2197 ) = 2197
Step 1: Write down factorisation of each number:
13 = 13
2197 = 13 · 13 · 13
Step 2 : Match primes vertically:
13 | = | 13 | ||||
2197 | = | 13 | · | 13 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
13 | = | 13 | ||||||
2197 | = | 13 | · | 13 | · | 13 | ||
LCM | = | 13 | · | 13 | · | 13 | = | 2197 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.