LCM( 15912, 16368 ) = 10851984
Step 1: Write down factorisation of each number:
15912 = 2 · 2 · 2 · 3 · 3 · 13 · 17
16368 = 2 · 2 · 2 · 2 · 3 · 11 · 31
Step 2 : Match primes vertically:
15912 | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 13 | · | 17 | ||||||
16368 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 11 | · | 31 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
15912 | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 13 | · | 17 | ||||||||
16368 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 11 | · | 31 | ||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 11 | · | 13 | · | 17 | · | 31 | = | 10851984 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.