Least Common Multiple (LCM) of 191 and 163
The least common multiple (LCM) of 191 and 163 is 31133.
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 191 and 163?
First, calculate the GCD of 191 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 163 = 1 remainder 28 |
| 2 | 163 ÷ 28 = 5 remainder 23 |
| 3 | 28 ÷ 23 = 1 remainder 5 |
| 4 | 23 ÷ 5 = 4 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 131 | 24497 |
| 155 and 43 | 6665 |
| 27 and 68 | 1836 |
| 152 and 155 | 23560 |
| 178 and 150 | 13350 |