Least Common Multiple (LCM) of 197 and 85
The least common multiple (LCM) of 197 and 85 is 16745.
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 85?
First, calculate the GCD of 197 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 85 = 2 remainder 27 |
| 2 | 85 ÷ 27 = 3 remainder 4 |
| 3 | 27 ÷ 4 = 6 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 93 | 14322 |
| 40 and 150 | 600 |
| 21 and 53 | 1113 |
| 152 and 58 | 4408 |
| 100 and 198 | 9900 |