LCM( 69, 34 ) = 2346
Step 1: Write down factorisation of each number:
69 = 3 · 23
34 = 2 · 17
Step 2 : Match primes vertically:
69 | = | 3 | · | 23 | ||||
34 | = | 2 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
69 | = | 3 | · | 23 | ||||||
34 | = | 2 | · | 17 | ||||||
LCM | = | 2 | · | 3 | · | 17 | · | 23 | = | 2346 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.