LCM( 41, 32 ) = 1312
Step 1: Write down factorisation of each number:
41 = 41
32 = 2 · 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
41 | = | 41 | ||||||||||
32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
41 | = | 41 | ||||||||||||
32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 41 | = | 1312 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.