Least Common Multiple (LCM) of 186 and 188
The least common multiple (LCM) of 186 and 188 is 17484.
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 186 and 188?
First, calculate the GCD of 186 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 188 = 0 remainder 186 |
| 2 | 188 ÷ 186 = 1 remainder 2 |
| 3 | 186 ÷ 2 = 93 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 156 | 2964 |
| 188 and 159 | 29892 |
| 135 and 160 | 4320 |
| 49 and 48 | 2352 |
| 198 and 169 | 33462 |