LCM( 11301, 3152 ) = 35620752
Step 1: Write down factorisation of each number:
11301 = 3 · 3767
3152 = 2 · 2 · 2 · 2 · 197
Step 2 : Match primes vertically:
11301 | = | 3 | · | 3767 | ||||||||||
3152 | = | 2 | · | 2 | · | 2 | · | 2 | · | 197 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
11301 | = | 3 | · | 3767 | ||||||||||||
3152 | = | 2 | · | 2 | · | 2 | · | 2 | · | 197 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 197 | · | 3767 | = | 35620752 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.