Least Common Multiple (LCM) of 165 and 187
The least common multiple (LCM) of 165 and 187 is 2805.
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 187?
First, calculate the GCD of 165 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 187 = 0 remainder 165 |
| 2 | 187 ÷ 165 = 1 remainder 22 |
| 3 | 165 ÷ 22 = 7 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 82 | 14678 |
| 95 and 145 | 2755 |
| 113 and 116 | 13108 |
| 20 and 144 | 720 |
| 22 and 142 | 1562 |