LCM( 2, 42436 ) = 42436
Step 1: Write down factorisation of each number:
2 = 2
42436 = 2 · 2 · 103 · 103
Step 2 : Match primes vertically:
2 | = | 2 | ||||||
42436 | = | 2 | · | 2 | · | 103 | · | 103 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2 | = | 2 | ||||||||
42436 | = | 2 | · | 2 | · | 103 | · | 103 | ||
LCM | = | 2 | · | 2 | · | 103 | · | 103 | = | 42436 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.