Least Common Multiple (LCM) of 26 and 176
The least common multiple (LCM) of 26 and 176 is 2288.
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 176?
First, calculate the GCD of 26 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 176 = 0 remainder 26 |
| 2 | 176 ÷ 26 = 6 remainder 20 |
| 3 | 26 ÷ 20 = 1 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 21 | 3045 |
| 122 and 103 | 12566 |
| 70 and 81 | 5670 |
| 22 and 170 | 1870 |
| 33 and 187 | 561 |