Least Common Multiple (LCM) of 160 and 134
The least common multiple (LCM) of 160 and 134 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 160 and 134?
First, calculate the GCD of 160 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 134 = 1 remainder 26 |
| 2 | 134 ÷ 26 = 5 remainder 4 |
| 3 | 26 ÷ 4 = 6 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 25 | 2525 |
| 37 and 69 | 2553 |
| 160 and 30 | 480 |
| 29 and 121 | 3509 |
| 51 and 189 | 3213 |