Least Common Multiple (LCM) of 41 and 122
The least common multiple (LCM) of 41 and 122 is 5002.
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 41 and 122?
First, calculate the GCD of 41 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 122 = 0 remainder 41 |
| 2 | 122 ÷ 41 = 2 remainder 40 |
| 3 | 41 ÷ 40 = 1 remainder 1 |
| 4 | 40 ÷ 1 = 40 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 63 | 63 |
| 12 and 40 | 120 |
| 184 and 72 | 1656 |
| 77 and 83 | 6391 |
| 105 and 121 | 12705 |