Find Least Common Multiple of 2, 3, 6, 100003 and 1200036 using prime factorisation method.
Answer
LCM( 2, 3, 6, 100003, 1200036 ) = 1200036
Explanation
Step 1: Write down factorisation of each number:
2 = 2
3 = 3
6 = 2 · 3
100003 = 100003
1200036 = 2 · 2 · 3 · 100003
Step 2 : Match primes vertically:
| 2 | = | 2 | ||||||
| 3 | = | 3 | ||||||
| 6 | = | 2 | · | 3 | ||||
| 100003 | = | 100003 | ||||||
| 1200036 | = | 2 | · | 2 | · | 3 | · | 100003 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2 | = | 2 | ||||||||
| 3 | = | 3 | ||||||||
| 6 | = | 2 | · | 3 | ||||||
| 100003 | = | 100003 | ||||||||
| 1200036 | = | 2 | · | 2 | · | 3 | · | 100003 | ||
| LCM | = | 2 | · | 2 | · | 3 | · | 100003 | = | 1200036 |
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