Least Common Multiple (LCM) of 134 and 161
The least common multiple (LCM) of 134 and 161 is 21574.
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 161?
First, calculate the GCD of 134 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 161 = 0 remainder 134 |
| 2 | 161 ÷ 134 = 1 remainder 27 |
| 3 | 134 ÷ 27 = 4 remainder 26 |
| 4 | 27 ÷ 26 = 1 remainder 1 |
| 5 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 173 | 6920 |
| 10 and 200 | 200 |
| 131 and 127 | 16637 |
| 109 and 72 | 7848 |
| 85 and 98 | 8330 |