Least Common Multiple (LCM) of 173 and 134
The least common multiple (LCM) of 173 and 134 is 23182.
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 134?
First, calculate the GCD of 173 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 134 = 1 remainder 39 |
| 2 | 134 ÷ 39 = 3 remainder 17 |
| 3 | 39 ÷ 17 = 2 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 58 | 5162 |
| 167 and 177 | 29559 |
| 173 and 165 | 28545 |
| 119 and 71 | 8449 |
| 12 and 115 | 1380 |