Least Common Multiple (LCM) of 171 and 134
The least common multiple (LCM) of 171 and 134 is 22914.
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 171 and 134?
First, calculate the GCD of 171 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 134 = 1 remainder 37 |
| 2 | 134 ÷ 37 = 3 remainder 23 |
| 3 | 37 ÷ 23 = 1 remainder 14 |
| 4 | 23 ÷ 14 = 1 remainder 9 |
| 5 | 14 ÷ 9 = 1 remainder 5 |
| 6 | 9 ÷ 5 = 1 remainder 4 |
| 7 | 5 ÷ 4 = 1 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 60 | 1260 |
| 157 and 16 | 2512 |
| 129 and 163 | 21027 |
| 29 and 96 | 2784 |
| 125 and 39 | 4875 |