Least Common Multiple (LCM) of 197 and 57
The least common multiple (LCM) of 197 and 57 is 11229.
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 57?
First, calculate the GCD of 197 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 57 = 3 remainder 26 |
| 2 | 57 ÷ 26 = 2 remainder 5 |
| 3 | 26 ÷ 5 = 5 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 50 | 1650 |
| 181 and 10 | 1810 |
| 14 and 53 | 742 |
| 84 and 37 | 3108 |
| 23 and 78 | 1794 |