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 |
|---|---|
| 158 and 89 | 14062 |
| 165 and 14 | 2310 |
| 35 and 183 | 6405 |
| 51 and 76 | 3876 |
| 110 and 152 | 8360 |