Least Common Multiple (LCM) of 86 and 188
The least common multiple (LCM) of 86 and 188 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 86 and 188?
First, calculate the GCD of 86 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 188 = 0 remainder 86 |
| 2 | 188 ÷ 86 = 2 remainder 16 |
| 3 | 86 ÷ 16 = 5 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 39 | 39 |
| 139 and 20 | 2780 |
| 54 and 77 | 4158 |
| 114 and 79 | 9006 |
| 139 and 51 | 7089 |