Least Common Multiple (LCM) of 26 and 181
The least common multiple (LCM) of 26 and 181 is 4706.
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 181?
First, calculate the GCD of 26 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 181 = 0 remainder 26 |
| 2 | 181 ÷ 26 = 6 remainder 25 |
| 3 | 26 ÷ 25 = 1 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 71 | 13206 |
| 173 and 74 | 12802 |
| 162 and 91 | 14742 |
| 41 and 35 | 1435 |
| 119 and 12 | 1428 |