Least Common Multiple (LCM) of 168 and 165
The least common multiple (LCM) of 168 and 165 is 9240.
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 168 and 165?
First, calculate the GCD of 168 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 165 = 1 remainder 3 |
| 2 | 165 ÷ 3 = 55 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 115 | 18055 |
| 161 and 197 | 31717 |
| 25 and 20 | 100 |
| 188 and 185 | 34780 |
| 24 and 71 | 1704 |