Least Common Multiple (LCM) of 161 and 108
The least common multiple (LCM) of 161 and 108 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 161 and 108?
First, calculate the GCD of 161 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 108 = 1 remainder 53 |
| 2 | 108 ÷ 53 = 2 remainder 2 |
| 3 | 53 ÷ 2 = 26 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 194 | 37830 |
| 132 and 140 | 4620 |
| 167 and 37 | 6179 |
| 186 and 42 | 1302 |
| 20 and 129 | 2580 |