Least Common Multiple (LCM) of 122 and 163
The least common multiple (LCM) of 122 and 163 is 19886.
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 163?
First, calculate the GCD of 122 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 163 = 0 remainder 122 |
| 2 | 163 ÷ 122 = 1 remainder 41 |
| 3 | 122 ÷ 41 = 2 remainder 40 |
| 4 | 41 ÷ 40 = 1 remainder 1 |
| 5 | 40 ÷ 1 = 40 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 31 | 4278 |
| 84 and 15 | 420 |
| 97 and 176 | 17072 |
| 170 and 32 | 2720 |
| 13 and 24 | 312 |