Precalculus Examples

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The LCM is the smallest number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
has factors of and .
: Occurs time.
: Occurs time.
The prime factorization of is .
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has factors of and .
has factors of and .
: Occurs times.
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
The LCM of is .
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Multiply by by adding the exponents.
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Combine and
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by by adding the exponents.
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Combine and
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Raise to the power of .
Multiply by .
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