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Calculate the Least Common Multiple or LCM of 72 and 3616

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The instructions to find the LCM of 72 and 3616 are the next:

1. Decompose all numbers into prime factors

722
362
182
93
33
1
36162
18082
9042
4522
2262
113113
1

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

Prime factors of 72=23 . 32
Prime factors of 3616=25 . 113

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

Common prime factors: 2

Common prime factors with the greatest exponent: 25

Uncommon prime factors: 3 , 113

Uncommon prime factors with the greatest exponent: 32, 1131

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 = 25. 32. 1131 = 32544


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