Least Common Multiple (LCM) of 122 and 181
The least common multiple (LCM) of 122 and 181 is 22082.
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 181?
First, calculate the GCD of 122 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 181 = 0 remainder 122 |
| 2 | 181 ÷ 122 = 1 remainder 59 |
| 3 | 122 ÷ 59 = 2 remainder 4 |
| 4 | 59 ÷ 4 = 14 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 10 | 190 |
| 87 and 129 | 3741 |
| 108 and 61 | 6588 |
| 35 and 110 | 770 |
| 198 and 96 | 3168 |