Least Common Multiple (LCM) of 197 and 143
The least common multiple (LCM) of 197 and 143 is 28171.
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 143?
First, calculate the GCD of 197 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 143 = 1 remainder 54 |
| 2 | 143 ÷ 54 = 2 remainder 35 |
| 3 | 54 ÷ 35 = 1 remainder 19 |
| 4 | 35 ÷ 19 = 1 remainder 16 |
| 5 | 19 ÷ 16 = 1 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 34 | 3230 |
| 146 and 180 | 13140 |
| 36 and 65 | 2340 |
| 72 and 68 | 1224 |
| 20 and 41 | 820 |