Least Common Multiple (LCM) of 197 and 161
The least common multiple (LCM) of 197 and 161 is 31717.
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 197 and 161?
First, calculate the GCD of 197 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 161 = 1 remainder 36 |
| 2 | 161 ÷ 36 = 4 remainder 17 |
| 3 | 36 ÷ 17 = 2 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 109 | 15042 |
| 37 and 42 | 1554 |
| 113 and 111 | 12543 |
| 26 and 56 | 728 |
| 18 and 100 | 900 |