Least Common Multiple (LCM) of 122 and 26
The least common multiple (LCM) of 122 and 26 is 1586.
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 122 and 26?
First, calculate the GCD of 122 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 26 = 4 remainder 18 |
| 2 | 26 ÷ 18 = 1 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 122 | 1708 |
| 105 and 129 | 4515 |
| 91 and 23 | 2093 |
| 121 and 48 | 5808 |
| 126 and 33 | 1386 |