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Calculate the Least Common Multiple or LCM of 2 and 525

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The instructions to find the LCM of 2 and 525 are the next:

1. Decompose all numbers into prime factors

22
1
5253
1755
355
77
1

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

Prime factors of 2=2
Prime factors of 525=3 . 52 . 7

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

Common prime factors: None

Common prime factors with the greatest exponent: None

Uncommon prime factors: 2 , 3 , 5 , 7

Uncommon prime factors with the greatest exponent: 21, 31, 52, 71

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 = 21. 31. 52. 71 = 1050


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