LCM( 2198, 2146 ) = 2358454
Step 1: Write down factorisation of each number:
2198 = 2 · 7 · 157
2146 = 2 · 29 · 37
Step 2 : Match primes vertically:
2198 | = | 2 | · | 7 | · | 157 | ||||
2146 | = | 2 | · | 29 | · | 37 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2198 | = | 2 | · | 7 | · | 157 | ||||||
2146 | = | 2 | · | 29 | · | 37 | ||||||
LCM | = | 2 | · | 7 | · | 29 | · | 37 | · | 157 | = | 2358454 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.