Least Common Multiple (LCM) of 134 and 171
The least common multiple (LCM) of 134 and 171 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 134 and 171?
First, calculate the GCD of 134 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 171 = 0 remainder 134 |
| 2 | 171 ÷ 134 = 1 remainder 37 |
| 3 | 134 ÷ 37 = 3 remainder 23 |
| 4 | 37 ÷ 23 = 1 remainder 14 |
| 5 | 23 ÷ 14 = 1 remainder 9 |
| 6 | 14 ÷ 9 = 1 remainder 5 |
| 7 | 9 ÷ 5 = 1 remainder 4 |
| 8 | 5 ÷ 4 = 1 remainder 1 |
| 9 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 77 | 8855 |
| 68 and 32 | 544 |
| 47 and 112 | 5264 |
| 111 and 153 | 5661 |
| 159 and 97 | 15423 |