Least Common Multiple (LCM) of 195 and 161
The least common multiple (LCM) of 195 and 161 is 31395.
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 195 and 161?
First, calculate the GCD of 195 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 161 = 1 remainder 34 |
| 2 | 161 ÷ 34 = 4 remainder 25 |
| 3 | 34 ÷ 25 = 1 remainder 9 |
| 4 | 25 ÷ 9 = 2 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 50 | 2600 |
| 37 and 32 | 1184 |
| 167 and 73 | 12191 |
| 62 and 40 | 1240 |
| 31 and 115 | 3565 |