Least Common Multiple (LCM) of 177 and 186
The least common multiple (LCM) of 177 and 186 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 177 and 186?
First, calculate the GCD of 177 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 186 = 0 remainder 177 |
| 2 | 186 ÷ 177 = 1 remainder 9 |
| 3 | 177 ÷ 9 = 19 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 114 | 21318 |
| 102 and 156 | 2652 |
| 157 and 152 | 23864 |
| 90 and 31 | 2790 |
| 50 and 54 | 1350 |