Least Common Multiple (LCM) of 122 and 173
The least common multiple (LCM) of 122 and 173 is 21106.
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 122 and 173?
First, calculate the GCD of 122 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 173 = 0 remainder 122 |
| 2 | 173 ÷ 122 = 1 remainder 51 |
| 3 | 122 ÷ 51 = 2 remainder 20 |
| 4 | 51 ÷ 20 = 2 remainder 11 |
| 5 | 20 ÷ 11 = 1 remainder 9 |
| 6 | 11 ÷ 9 = 1 remainder 2 |
| 7 | 9 ÷ 2 = 4 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 22 | 1144 |
| 24 and 28 | 168 |
| 153 and 142 | 21726 |
| 105 and 140 | 420 |
| 165 and 186 | 10230 |