what is the least common multiple (lcm) of 5 and 9? 14 35 40 45
what is the least common multiple (lcm) of 5 and 9? 14 35 40 45
Answer
Explanation:
Step1: Prime - factorize the numbers
5 is a prime number, so its prime - factorization is just 5. 9 = 3×3.
Step2: Determine the LCM
The LCM is found by taking the highest power of each prime factor that appears in the factorizations. For the prime factor 3, the highest power is 3², and for the prime factor 5, the highest power is 5¹. Then LCM(5,9)=3²×5 = 45.
Answer:
45