Least Common Multiple (LCM) of 108 and 161
The least common multiple (LCM) of 108 and 161 is 17388.
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 108 and 161?
First, calculate the GCD of 108 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 161 = 0 remainder 108 |
| 2 | 161 ÷ 108 = 1 remainder 53 |
| 3 | 108 ÷ 53 = 2 remainder 2 |
| 4 | 53 ÷ 2 = 26 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 197 | 8274 |
| 107 and 90 | 9630 |
| 122 and 142 | 8662 |
| 111 and 84 | 3108 |
| 174 and 49 | 8526 |