Least Common Multiple (LCM) of 188 and 191
The least common multiple (LCM) of 188 and 191 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 188 and 191?
First, calculate the GCD of 188 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 191 = 0 remainder 188 |
| 2 | 191 ÷ 188 = 1 remainder 3 |
| 3 | 188 ÷ 3 = 62 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 97 | 3783 |
| 169 and 16 | 2704 |
| 38 and 138 | 2622 |
| 113 and 24 | 2712 |
| 129 and 162 | 6966 |