Least Common Multiple (LCM) of 26 and 155
The least common multiple (LCM) of 26 and 155 is 4030.
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 155?
First, calculate the GCD of 26 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 155 = 0 remainder 26 |
| 2 | 155 ÷ 26 = 5 remainder 25 |
| 3 | 26 ÷ 25 = 1 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 196 | 1176 |
| 198 and 21 | 1386 |
| 103 and 91 | 9373 |
| 143 and 51 | 7293 |
| 182 and 192 | 17472 |