Least Common Multiple (LCM) of 197 and 187
The least common multiple (LCM) of 197 and 187 is 36839.
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 187?
First, calculate the GCD of 197 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 187 = 1 remainder 10 |
| 2 | 187 ÷ 10 = 18 remainder 7 |
| 3 | 10 ÷ 7 = 1 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 103 | 6180 |
| 101 and 90 | 9090 |
| 175 and 109 | 19075 |
| 187 and 135 | 25245 |
| 181 and 126 | 22806 |