LCM( 10829, 15015 ) = 1786785
Step 1: Write down factorisation of each number:
10829 = 7 · 7 · 13 · 17
15015 = 3 · 5 · 7 · 11 · 13
Step 2 : Match primes vertically:
10829 | = | 7 | · | 7 | · | 13 | · | 17 | ||||||
15015 | = | 3 | · | 5 | · | 7 | · | 11 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
10829 | = | 7 | · | 7 | · | 13 | · | 17 | ||||||||
15015 | = | 3 | · | 5 | · | 7 | · | 11 | · | 13 | ||||||
LCM | = | 3 | · | 5 | · | 7 | · | 7 | · | 11 | · | 13 | · | 17 | = | 1786785 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.