LCM( 2826, 6282 ) = 986274
Step 1: Write down factorisation of each number:
2826 = 2 · 3 · 3 · 157
6282 = 2 · 3 · 3 · 349
Step 2 : Match primes vertically:
2826 | = | 2 | · | 3 | · | 3 | · | 157 | ||
6282 | = | 2 | · | 3 | · | 3 | · | 349 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2826 | = | 2 | · | 3 | · | 3 | · | 157 | ||||
6282 | = | 2 | · | 3 | · | 3 | · | 349 | ||||
LCM | = | 2 | · | 3 | · | 3 | · | 157 | · | 349 | = | 986274 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.