Least Common Multiple (LCM) of 134 and 160
The least common multiple (LCM) of 134 and 160 is 10720.
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 160?
First, calculate the GCD of 134 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 160 = 0 remainder 134 |
| 2 | 160 ÷ 134 = 1 remainder 26 |
| 3 | 134 ÷ 26 = 5 remainder 4 |
| 4 | 26 ÷ 4 = 6 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 32 | 3168 |
| 16 and 122 | 976 |
| 78 and 40 | 1560 |
| 101 and 84 | 8484 |
| 198 and 137 | 27126 |