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 |
|---|---|
| 142 and 78 | 5538 |
| 106 and 11 | 1166 |
| 11 and 57 | 627 |
| 183 and 10 | 1830 |
| 123 and 37 | 4551 |