Least Common Multiple (LCM) of 165 and 167
The least common multiple (LCM) of 165 and 167 is 27555.
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 167?
First, calculate the GCD of 165 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 167 = 0 remainder 165 |
| 2 | 167 ÷ 165 = 1 remainder 2 |
| 3 | 165 ÷ 2 = 82 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 157 | 2669 |
| 54 and 147 | 2646 |
| 16 and 16 | 16 |
| 89 and 61 | 5429 |
| 169 and 167 | 28223 |