Least Common Multiple (LCM) of 131 and 122
The least common multiple (LCM) of 131 and 122 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 131 and 122?
First, calculate the GCD of 131 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 122 = 1 remainder 9 |
| 2 | 122 ÷ 9 = 13 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 87 | 4698 |
| 74 and 138 | 5106 |
| 100 and 33 | 3300 |
| 107 and 107 | 107 |
| 68 and 148 | 2516 |