Least Common Multiple (LCM) of 26 and 177
The least common multiple (LCM) of 26 and 177 is 4602.
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 177?
First, calculate the GCD of 26 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 177 = 0 remainder 26 |
| 2 | 177 ÷ 26 = 6 remainder 21 |
| 3 | 26 ÷ 21 = 1 remainder 5 |
| 4 | 21 ÷ 5 = 4 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 67 | 8442 |
| 173 and 25 | 4325 |
| 136 and 84 | 2856 |
| 183 and 194 | 35502 |
| 18 and 33 | 198 |