Correct Answer: B. (B) 560
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The LCM (Least Common Multiple) of 70 and 80 is B. 560.
Here’s why:
The LCM is the smallest number that is a multiple of both 70 and 80. We can find it by considering their prime factorization:
- Prime factorization of 70: 2 * 5 * 7
- Prime factorization of 80: 2 * 2 * 2 * 2 * 5
To find the LCM, we take the highest power of each prime factor that appears in either number:
- LCM: 2^4 * 5 * 7 = 560
Therefore, 560 is the least common multiple of 70 and 80.