Least Common Multiple (LCM) of 26 and 200
The least common multiple (LCM) of 26 and 200 is 2600.
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 200?
First, calculate the GCD of 26 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 200 = 0 remainder 26 |
| 2 | 200 ÷ 26 = 7 remainder 18 |
| 3 | 26 ÷ 18 = 1 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 109 | 21146 |
| 198 and 12 | 396 |
| 135 and 55 | 1485 |
| 126 and 49 | 882 |
| 174 and 107 | 18618 |