Least Common Multiple (LCM) of 161 and 199
The least common multiple (LCM) of 161 and 199 is 32039.
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 199?
First, calculate the GCD of 161 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 199 = 0 remainder 161 |
| 2 | 199 ÷ 161 = 1 remainder 38 |
| 3 | 161 ÷ 38 = 4 remainder 9 |
| 4 | 38 ÷ 9 = 4 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 133 | 1862 |
| 131 and 161 | 21091 |
| 156 and 107 | 16692 |
| 55 and 112 | 6160 |
| 154 and 142 | 10934 |