Least Common Multiple (LCM) of 122 and 182
The least common multiple (LCM) of 122 and 182 is 11102.
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 182?
First, calculate the GCD of 122 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 182 = 0 remainder 122 |
| 2 | 182 ÷ 122 = 1 remainder 60 |
| 3 | 122 ÷ 60 = 2 remainder 2 |
| 4 | 60 ÷ 2 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 145 | 16965 |
| 43 and 40 | 1720 |
| 18 and 118 | 1062 |
| 55 and 41 | 2255 |
| 117 and 116 | 13572 |