Least Common Multiple (LCM) of 167 and 191
The least common multiple (LCM) of 167 and 191 is 31897.
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 167 and 191?
First, calculate the GCD of 167 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 191 = 0 remainder 167 |
| 2 | 191 ÷ 167 = 1 remainder 24 |
| 3 | 167 ÷ 24 = 6 remainder 23 |
| 4 | 24 ÷ 23 = 1 remainder 1 |
| 5 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 79 | 9164 |
| 113 and 196 | 22148 |
| 180 and 58 | 5220 |
| 97 and 107 | 10379 |
| 184 and 85 | 15640 |