Least Common Multiple (LCM) of 122 and 131
The least common multiple (LCM) of 122 and 131 is 15982.
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 131?
First, calculate the GCD of 122 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 131 = 0 remainder 122 |
| 2 | 131 ÷ 122 = 1 remainder 9 |
| 3 | 122 ÷ 9 = 13 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 167 | 21543 |
| 145 and 18 | 2610 |
| 194 and 86 | 8342 |
| 22 and 63 | 1386 |
| 177 and 67 | 11859 |