Least Common Multiple (LCM) of 186 and 17
The least common multiple (LCM) of 186 and 17 is 3162.
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 17?
First, calculate the GCD of 186 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 17 = 10 remainder 16 |
| 2 | 17 ÷ 16 = 1 remainder 1 |
| 3 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 16 | 3056 |
| 161 and 142 | 22862 |
| 113 and 151 | 17063 |
| 189 and 198 | 4158 |
| 126 and 115 | 14490 |