Least Common Multiple (LCM) of 197 and 191
The least common multiple (LCM) of 197 and 191 is 37627.
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 191?
First, calculate the GCD of 197 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 191 = 1 remainder 6 |
| 2 | 191 ÷ 6 = 31 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 53 | 6519 |
| 181 and 104 | 18824 |
| 165 and 138 | 7590 |
| 194 and 135 | 26190 |
| 47 and 131 | 6157 |