Least Common Multiple (LCM) of 197 and 183
The least common multiple (LCM) of 197 and 183 is 36051.
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 183?
First, calculate the GCD of 197 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 183 = 1 remainder 14 |
| 2 | 183 ÷ 14 = 13 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 193 | 30108 |
| 159 and 49 | 7791 |
| 25 and 138 | 3450 |
| 70 and 172 | 6020 |
| 53 and 40 | 2120 |