Least Common Multiple (LCM) of 197 and 122
The least common multiple (LCM) of 197 and 122 is 24034.
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 197 and 122?
First, calculate the GCD of 197 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 122 = 1 remainder 75 |
| 2 | 122 ÷ 75 = 1 remainder 47 |
| 3 | 75 ÷ 47 = 1 remainder 28 |
| 4 | 47 ÷ 28 = 1 remainder 19 |
| 5 | 28 ÷ 19 = 1 remainder 9 |
| 6 | 19 ÷ 9 = 2 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 175 | 8050 |
| 142 and 48 | 3408 |
| 164 and 142 | 11644 |
| 141 and 103 | 14523 |
| 23 and 178 | 4094 |