Least Common Multiple (LCM) of 187 and 197
The least common multiple (LCM) of 187 and 197 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 187 and 197?
First, calculate the GCD of 187 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 197 = 0 remainder 187 |
| 2 | 197 ÷ 187 = 1 remainder 10 |
| 3 | 187 ÷ 10 = 18 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 68 | 68 |
| 91 and 118 | 10738 |
| 33 and 116 | 3828 |
| 15 and 27 | 135 |
| 15 and 47 | 705 |