Least Common Multiple (LCM) of 197 and 40
The least common multiple (LCM) of 197 and 40 is 7880.
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 40?
First, calculate the GCD of 197 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 40 = 4 remainder 37 |
| 2 | 40 ÷ 37 = 1 remainder 3 |
| 3 | 37 ÷ 3 = 12 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 80 | 4880 |
| 12 and 189 | 756 |
| 168 and 150 | 4200 |
| 170 and 153 | 1530 |
| 145 and 34 | 4930 |