LCM( 1999, 2009 ) = 4015991
Step 1: Write down factorisation of each number:
1999 = 1999
2009 = 7 · 7 · 41
Step 2 : Match primes vertically:
1999 | = | 1999 | ||||||
2009 | = | 7 | · | 7 | · | 41 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
1999 | = | 1999 | ||||||||
2009 | = | 7 | · | 7 | · | 41 | ||||
LCM | = | 7 | · | 7 | · | 41 | · | 1999 | = | 4015991 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.