Least Common Multiple (LCM) of 161 and 195
The least common multiple (LCM) of 161 and 195 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 161 and 195?
First, calculate the GCD of 161 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 195 = 0 remainder 161 |
| 2 | 195 ÷ 161 = 1 remainder 34 |
| 3 | 161 ÷ 34 = 4 remainder 25 |
| 4 | 34 ÷ 25 = 1 remainder 9 |
| 5 | 25 ÷ 9 = 2 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 124 | 2356 |
| 197 and 58 | 11426 |
| 90 and 55 | 990 |
| 155 and 31 | 155 |
| 59 and 74 | 4366 |