Least Common Multiple (LCM) of 165 and 143
The least common multiple (LCM) of 165 and 143 is 2145.
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 143?
First, calculate the GCD of 165 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 143 = 1 remainder 22 |
| 2 | 143 ÷ 22 = 6 remainder 11 |
| 3 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 178 | 8722 |
| 75 and 154 | 11550 |
| 156 and 26 | 156 |
| 123 and 94 | 11562 |
| 68 and 177 | 12036 |