LCM( 14, 63 ) = 126
Step 1: Write down factorisation of each number:
14 = 2 · 7
63 = 3 · 3 · 7
Step 2 : Match primes vertically:
14 | = | 2 | · | 7 | ||||
63 | = | 3 | · | 3 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
14 | = | 2 | · | 7 | ||||||
63 | = | 3 | · | 3 | · | 7 | ||||
LCM | = | 2 | · | 3 | · | 3 | · | 7 | = | 126 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.