Least Common Multiple (LCM) of 188 and 86
The least common multiple (LCM) of 188 and 86 is 8084.
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 86?
First, calculate the GCD of 188 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 86 = 2 remainder 16 |
| 2 | 86 ÷ 16 = 5 remainder 6 |
| 3 | 16 ÷ 6 = 2 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 194 | 1746 |
| 77 and 83 | 6391 |
| 178 and 105 | 18690 |
| 120 and 17 | 2040 |
| 13 and 90 | 1170 |