Python Math: Find the smallest multiple of the first n numbers

Last update on April 24 2025 12:44:44 (UTC/GMT +8 hours)

10. Smallest Multiple and Factors

Write a Python program to find the smallest multiple of the first n numbers. Also, display the factors.

Sample Solution:

Python Code:

def smallest_multiple(n):
    if (n<=2):
      return n
    i = n * 2
    factors = [number  for number in range(n, 1, -1) if number * 2 > n]
    print(factors)

    while True:
        for a in factors:
            if i % a != 0:
                i += n
                break
            if (a == factors[-1] and i % a == 0):
                return i
                
print(smallest_multiple(13))
print(smallest_multiple(11))
print(smallest_multiple(2))
print(smallest_multiple(1))

Sample Output:

[13, 12, 11, 10, 9, 8, 7]
360360
[11, 10, 9, 8, 7, 6]
27720
2
1

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program that finds the smallest common multiple of the first n natural numbers and prints the factors that contribute to it.
• Write a Python function to calculate the least common multiple (LCM) of numbers from 1 to n and display its prime factorization.
• Write a Python script to compute the smallest multiple for a given n, then list all factors of that multiple in descending order.
• Write a Python program to determine the smallest number divisible by all numbers from 1 to n and verify its divisibility using a loop.

Go to:

• Python Math Exercises Home ↩
• Python Exercises Home ↩

Previous: Write a Python program to calculate the discriminant value.
Next: Write a Python program to calculate the difference between the squared sum of first n natural numbers and the sum of squared first n natural numbers.(default value of number=2).

Python Code Editor:

Have another way to solve this solution? Contribute your code (and comments) through Disqus.