LCM( 42823, 6409 ) = 16144271
Step 1: Write down factorisation of each number:
42823 = 11 · 17 · 229
6409 = 13 · 17 · 29
Step 2 : Match primes vertically:
42823 | = | 11 | · | 17 | · | 229 | ||||
6409 | = | 13 | · | 17 | · | 29 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
42823 | = | 11 | · | 17 | · | 229 | ||||||
6409 | = | 13 | · | 17 | · | 29 | ||||||
LCM | = | 11 | · | 13 | · | 17 | · | 29 | · | 229 | = | 16144271 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.