Least Common Multiple (LCM) of 134 and 173
The least common multiple (LCM) of 134 and 173 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 134 and 173?
First, calculate the GCD of 134 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 173 = 0 remainder 134 |
| 2 | 173 ÷ 134 = 1 remainder 39 |
| 3 | 134 ÷ 39 = 3 remainder 17 |
| 4 | 39 ÷ 17 = 2 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 71 | 8733 |
| 60 and 166 | 4980 |
| 113 and 26 | 2938 |
| 133 and 163 | 21679 |
| 84 and 103 | 8652 |