Least Common Multiple (LCM) of 26 and 143
The least common multiple (LCM) of 26 and 143 is 286.
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 143?
First, calculate the GCD of 26 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 143 = 0 remainder 26 |
| 2 | 143 ÷ 26 = 5 remainder 13 |
| 3 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 155 | 5580 |
| 145 and 190 | 5510 |
| 199 and 71 | 14129 |
| 154 and 144 | 11088 |
| 81 and 125 | 10125 |