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Calculate the Least Common Multiple or LCM of 72 and 3540

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The instructions to find the LCM of 72 and 3540 are the next:

1. Decompose all numbers into prime factors

722
362
182
93
33
1
35402
17702
8853
2955
5959
1

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

Prime factors of 72=23 . 32
Prime factors of 3540=22 . 3 . 5 . 59

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

Common prime factors: 2 , 3

Common prime factors with the greatest exponent: 23, 32

Uncommon prime factors: 5 , 59

Uncommon prime factors with the greatest exponent: 51, 591

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 = 23. 32. 51. 591 = 21240


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