LCM( 2, 68 ) = 68
Step 1: Write down factorisation of each number:
2 = 2
68 = 2 · 2 · 17
Step 2 : Match primes vertically:
2 | = | 2 | ||||
68 | = | 2 | · | 2 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2 | = | 2 | ||||||
68 | = | 2 | · | 2 | · | 17 | ||
LCM | = | 2 | · | 2 | · | 17 | = | 68 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.