Least Common Multiple (LCM) of 191 and 188
The least common multiple (LCM) of 191 and 188 is 35908.
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 188?
First, calculate the GCD of 191 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 188 = 1 remainder 3 |
| 2 | 188 ÷ 3 = 62 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 79 | 2449 |
| 182 and 146 | 13286 |
| 116 and 163 | 18908 |
| 169 and 86 | 14534 |
| 37 and 193 | 7141 |