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 |
|---|---|
| 141 and 37 | 5217 |
| 162 and 138 | 3726 |
| 147 and 133 | 2793 |
| 92 and 41 | 3772 |
| 98 and 112 | 784 |