LCM( 2520, 6600 ) = 138600
Step 1: Write down factorisation of each number:
2520 = 2 · 2 · 2 · 3 · 3 · 5 · 7
6600 = 2 · 2 · 2 · 3 · 5 · 5 · 11
Step 2 : Match primes vertically:
2520 | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 7 | ||||
6600 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 5 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2520 | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 7 | ||||||
6600 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 5 | · | 11 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 5 | · | 7 | · | 11 | = | 138600 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.