Least Common Multiple (LCM) of 165 and 186
The least common multiple (LCM) of 165 and 186 is 10230.
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 165 and 186?
First, calculate the GCD of 165 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 186 = 0 remainder 165 |
| 2 | 186 ÷ 165 = 1 remainder 21 |
| 3 | 165 ÷ 21 = 7 remainder 18 |
| 4 | 21 ÷ 18 = 1 remainder 3 |
| 5 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 112 | 11984 |
| 145 and 25 | 725 |
| 178 and 159 | 28302 |
| 44 and 35 | 1540 |
| 100 and 43 | 4300 |