Least Common Multiple (LCM) of 41 and 173
The least common multiple (LCM) of 41 and 173 is 7093.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 41 and 173?
First, calculate the GCD of 41 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 173 = 0 remainder 41 |
| 2 | 173 ÷ 41 = 4 remainder 9 |
| 3 | 41 ÷ 9 = 4 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 129 | 24897 |
| 131 and 105 | 13755 |
| 101 and 124 | 12524 |
| 190 and 115 | 4370 |
| 198 and 52 | 5148 |