Find Least Common Multiple of 752642 and 125612 using prime factorisation method.
Answer
LCM( 752642, 125612 ) = 47270433452
Explanation
Step 1: Write down factorisation of each number:
752642 = 2 · 11 · 34211
125612 = 2 · 2 · 31 · 1013
Step 2 : Match primes vertically:
| 752642 | = | 2 | · | 11 | · | 34211 | ||||||
| 125612 | = | 2 | · | 2 | · | 31 | · | 1013 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 752642 | = | 2 | · | 11 | · | 34211 | ||||||||
| 125612 | = | 2 | · | 2 | · | 31 | · | 1013 | ||||||
| LCM | = | 2 | · | 2 | · | 11 | · | 31 | · | 1013 | · | 34211 | = | 47270433452 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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