Least Common Multiple (LCM) of 122 and 121
The least common multiple (LCM) of 122 and 121 is 14762.
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 121?
First, calculate the GCD of 122 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 121 = 1 remainder 1 |
| 2 | 121 ÷ 1 = 121 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 46 | 8142 |
| 150 and 122 | 9150 |
| 124 and 87 | 10788 |
| 22 and 16 | 176 |
| 125 and 32 | 4000 |