Least Common Multiple (LCM) of 161 and 198
The least common multiple (LCM) of 161 and 198 is 31878.
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 198?
First, calculate the GCD of 161 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 198 = 0 remainder 161 |
| 2 | 198 ÷ 161 = 1 remainder 37 |
| 3 | 161 ÷ 37 = 4 remainder 13 |
| 4 | 37 ÷ 13 = 2 remainder 11 |
| 5 | 13 ÷ 11 = 1 remainder 2 |
| 6 | 11 ÷ 2 = 5 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 144 | 7632 |
| 34 and 90 | 1530 |
| 66 and 11 | 66 |
| 147 and 117 | 5733 |
| 53 and 195 | 10335 |