LCM( 24, 169 ) = 4056
Step 1: Write down factorisation of each number:
24 = 2 · 2 · 2 · 3
169 = 13 · 13
Step 2 : Match primes vertically:
24 | = | 2 | · | 2 | · | 2 | · | 3 | ||||
169 | = | 13 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
24 | = | 2 | · | 2 | · | 2 | · | 3 | ||||||
169 | = | 13 | · | 13 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 13 | · | 13 | = | 4056 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.