LCM( 24, 71 ) = 1704
Step 1: Write down factorisation of each number:
24 = 2 · 2 · 2 · 3
71 = 71
Step 2 : Match primes vertically:
24 | = | 2 | · | 2 | · | 2 | · | 3 | ||
71 | = | 71 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
24 | = | 2 | · | 2 | · | 2 | · | 3 | ||||
71 | = | 71 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 71 | = | 1704 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.