Correct Answer:
B. (B) 560
The Least Common Multiple (LCM) of 70 and 80 is 560, as it is the smallest positive integer divisible by both numbers.
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.