Least Common Multiple (LCM) of 186 and 171
The least common multiple (LCM) of 186 and 171 is 10602.
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 171?
First, calculate the GCD of 186 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 171 = 1 remainder 15 |
| 2 | 171 ÷ 15 = 11 remainder 6 |
| 3 | 15 ÷ 6 = 2 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 141 | 11280 |
| 84 and 183 | 5124 |
| 183 and 158 | 28914 |
| 22 and 47 | 1034 |
| 152 and 167 | 25384 |