Least Common Multiple (LCM) of 26 and 165
The least common multiple (LCM) of 26 and 165 is 4290.
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 26 and 165?
First, calculate the GCD of 26 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 165 = 0 remainder 26 |
| 2 | 165 ÷ 26 = 6 remainder 9 |
| 3 | 26 ÷ 9 = 2 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 167 | 17869 |
| 76 and 127 | 9652 |
| 153 and 95 | 14535 |
| 187 and 177 | 33099 |
| 199 and 52 | 10348 |