Least Common Multiple (LCM) of 186 and 177
The least common multiple (LCM) of 186 and 177 is 10974.
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 177?
First, calculate the GCD of 186 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 177 = 1 remainder 9 |
| 2 | 177 ÷ 9 = 19 remainder 6 |
| 3 | 9 ÷ 6 = 1 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 25 | 4725 |
| 146 and 123 | 17958 |
| 99 and 180 | 1980 |
| 118 and 21 | 2478 |
| 199 and 37 | 7363 |