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Calculate the Least Common Multiple or LCM of 1728 and 4096

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The instructions to find the LCM of 1728 and 4096 are the next:

1. Decompose all numbers into prime factors

17282
8642
4322
2162
1082
542
273
93
33
1
40962
20482
10242
5122
2562
1282
642
322
162
82
42
22
1

2. Write all numbers as the product of its prime factors

Prime factors of 1728=26 . 33
Prime factors of 4096=212

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2

Common prime factors with the greatest exponent: 212

Uncommon prime factors: 3

Uncommon prime factors with the greatest exponent: 33

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 212. 33 = 110592


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