Least Common Multiple (LCM) of 163 and 122
The least common multiple (LCM) of 163 and 122 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 163 and 122?
First, calculate the GCD of 163 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 122 = 1 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 |
|---|---|
| 60 and 60 | 60 |
| 96 and 166 | 7968 |
| 183 and 107 | 19581 |
| 89 and 42 | 3738 |
| 55 and 14 | 770 |