Least Common Multiple (LCM) of 115 and 161
The least common multiple (LCM) of 115 and 161 is 805.
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 115 and 161?
First, calculate the GCD of 115 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 161 = 0 remainder 115 |
| 2 | 161 ÷ 115 = 1 remainder 46 |
| 3 | 115 ÷ 46 = 2 remainder 23 |
| 4 | 46 ÷ 23 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 29 | 4002 |
| 98 and 141 | 13818 |
| 10 and 110 | 110 |
| 189 and 101 | 19089 |
| 165 and 181 | 29865 |