Least Common Multiple (LCM) of 121 and 82
The least common multiple (LCM) of 121 and 82 is 9922.
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 121 and 82?
First, calculate the GCD of 121 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 82 = 1 remainder 39 |
| 2 | 82 ÷ 39 = 2 remainder 4 |
| 3 | 39 ÷ 4 = 9 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 170 | 2380 |
| 200 and 17 | 3400 |
| 102 and 125 | 12750 |
| 129 and 128 | 16512 |
| 187 and 59 | 11033 |