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 |
|---|---|
| 61 and 45 | 2745 |
| 44 and 67 | 2948 |
| 148 and 70 | 5180 |
| 165 and 144 | 7920 |
| 191 and 149 | 28459 |