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 |
|---|---|
| 103 and 29 | 2987 |
| 18 and 61 | 1098 |
| 55 and 147 | 8085 |
| 59 and 163 | 9617 |
| 101 and 40 | 4040 |