Least Common Multiple (LCM) of 26 and 58
The least common multiple (LCM) of 26 and 58 is 754.
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 58?
First, calculate the GCD of 26 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 58 = 0 remainder 26 |
| 2 | 58 ÷ 26 = 2 remainder 6 |
| 3 | 26 ÷ 6 = 4 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 188 | 17108 |
| 197 and 83 | 16351 |
| 121 and 67 | 8107 |
| 175 and 199 | 34825 |
| 190 and 104 | 9880 |