least common multiple of 9 and 7
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 9 and 7. To find the LCM, we identify the smallest multiple that is common to both numbers.
Answer
63
Answer for screen readers
The final answer is 63
Steps to Solve
- Prime factorize both numbers
Identify the prime factors of 9 and 7: 9 can be factorized into $3 \times 3$, and 7 is already a prime number.
- Write down the factors
For 9: $3^2$ For 7: $7^1$
- Identify the highest power of each prime factor
Take the highest power of each prime factor from either number. For 3: $3^2$ (from 9) For 7: $7^1$ (from 7)
- Multiply these factors together
Multiply the highest powers of the prime factors together to get the LCM:
$$LCM = 3^2 \times 7^1 = 9 \times 7 = 63$$
The final answer is 63
More Information
The LCM of any two numbers is the smallest number that is a multiple of both. For 9 and 7, 63 is that number.
Tips
A common mistake is not taking the highest power of each prime factor when calculating the LCM. Make sure to include the highest power of each prime factor from either number.
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