Least Common Multiple (LCM) of 173 and 122
The least common multiple (LCM) of 173 and 122 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 173 and 122?
First, calculate the GCD of 173 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 122 = 1 remainder 51 |
| 2 | 122 ÷ 51 = 2 remainder 20 |
| 3 | 51 ÷ 20 = 2 remainder 11 |
| 4 | 20 ÷ 11 = 1 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 99 | 10593 |
| 51 and 158 | 8058 |
| 14 and 103 | 1442 |
| 35 and 27 | 945 |
| 47 and 90 | 4230 |