LCM( 38, 52 ) = 988
Step 1: Write down factorisation of each number:
38 = 2 · 19
52 = 2 · 2 · 13
Step 2 : Match primes vertically:
38 | = | 2 | · | 19 | ||||
52 | = | 2 | · | 2 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
38 | = | 2 | · | 19 | ||||||
52 | = | 2 | · | 2 | · | 13 | ||||
LCM | = | 2 | · | 2 | · | 13 | · | 19 | = | 988 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.