Least Common Multiple (LCM) of 122 and 184
The least common multiple (LCM) of 122 and 184 is 11224.
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 184?
First, calculate the GCD of 122 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 184 = 0 remainder 122 |
| 2 | 184 ÷ 122 = 1 remainder 62 |
| 3 | 122 ÷ 62 = 1 remainder 60 |
| 4 | 62 ÷ 60 = 1 remainder 2 |
| 5 | 60 ÷ 2 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 105 | 840 |
| 106 and 99 | 10494 |
| 25 and 18 | 450 |
| 66 and 131 | 8646 |
| 11 and 41 | 451 |