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 |
|---|---|
| 76 and 37 | 2812 |
| 113 and 136 | 15368 |
| 65 and 157 | 10205 |
| 80 and 110 | 880 |
| 27 and 12 | 108 |