Least Common Multiple (LCM) of 160 and 86
The least common multiple (LCM) of 160 and 86 is 6880.
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 86?
First, calculate the GCD of 160 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 86 = 1 remainder 74 |
| 2 | 86 ÷ 74 = 1 remainder 12 |
| 3 | 74 ÷ 12 = 6 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 177 | 14160 |
| 162 and 186 | 5022 |
| 98 and 149 | 14602 |
| 104 and 31 | 3224 |
| 163 and 100 | 16300 |