Least Common Multiple (LCM) of 161 and 191
The least common multiple (LCM) of 161 and 191 is 30751.
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 191?
First, calculate the GCD of 161 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 191 = 0 remainder 161 |
| 2 | 191 ÷ 161 = 1 remainder 30 |
| 3 | 161 ÷ 30 = 5 remainder 11 |
| 4 | 30 ÷ 11 = 2 remainder 8 |
| 5 | 11 ÷ 8 = 1 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 194 | 32010 |
| 29 and 19 | 551 |
| 176 and 194 | 17072 |
| 199 and 157 | 31243 |
| 151 and 154 | 23254 |