Pregunta
Find the least common multiple.
Write your answer as a constant times a product of single variables raised to exponents.
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Write your answer as a constant times a product of single variables raised to exponents.
Submit
Ask by Sullivan Bolton. in the United States
Jan 22,2025
Solución de inteligencia artificial de Upstudy
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To find the least common multiple (LCM), first perform prime factorization of the given numbers or expressions. Identify the highest power of each prime factor present. Multiply these highest powers together to get the LCM. For example, the LCM of 12 and 18 is 36, which is
Solución
Sure, I’d be happy to help you find the least common multiple (LCM). However, I need the specific numbers or algebraic expressions for which you want to determine the LCM. Could you please provide those details?
For example, if you want to find the LCM of two numbers like 12 and 18, here’s how it would be done:
-
Prime Factorization:
- 12 = 2² × 3
- 18 = 2 × 3²
-
Choose the highest power of each prime:
- For 2: 2²
- For 3: 3²
-
Multiply these together:
- LCM = 2² × 3² = 4 × 9 = 36
So, the LCM of 12 and 18 is 36.
If you’re working with algebraic expressions, please provide them, and I can walk you through the process accordingly.
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To find the least common multiple (LCM) of integers, you often break them down into their prime factors. For example, consider the numbers 12 and 18. The prime factorization of 12 is
This approach can be applied to find the LCM of larger sets of numbers or even variables in algebra. Just remember to always use the highest power of each unique prime factor that appears in any of the factorizations. So if you have
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