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 |
|---|---|
| 139 and 140 | 19460 |
| 180 and 54 | 540 |
| 31 and 117 | 3627 |
| 70 and 36 | 1260 |
| 145 and 20 | 580 |