LCM( 1638, 2036 ) = 1667484
Step 1: Write down factorisation of each number:
1638 = 2 · 3 · 3 · 7 · 13
2036 = 2 · 2 · 509
Step 2 : Match primes vertically:
1638 | = | 2 | · | 3 | · | 3 | · | 7 | · | 13 | ||||
2036 | = | 2 | · | 2 | · | 509 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
1638 | = | 2 | · | 3 | · | 3 | · | 7 | · | 13 | ||||||
2036 | = | 2 | · | 2 | · | 509 | ||||||||||
LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 7 | · | 13 | · | 509 | = | 1667484 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.