Least Common Multiple (LCM) of 197 and 141
The least common multiple (LCM) of 197 and 141 is 27777.
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 141?
First, calculate the GCD of 197 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 141 = 1 remainder 56 |
| 2 | 141 ÷ 56 = 2 remainder 29 |
| 3 | 56 ÷ 29 = 1 remainder 27 |
| 4 | 29 ÷ 27 = 1 remainder 2 |
| 5 | 27 ÷ 2 = 13 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 153 | 7956 |
| 179 and 165 | 29535 |
| 112 and 174 | 9744 |
| 52 and 197 | 10244 |
| 21 and 126 | 126 |