Least Common Multiple (LCM) of 197 and 89
The least common multiple (LCM) of 197 and 89 is 17533.
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 89?
First, calculate the GCD of 197 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 89 = 2 remainder 19 |
| 2 | 89 ÷ 19 = 4 remainder 13 |
| 3 | 19 ÷ 13 = 1 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 143 | 15873 |
| 164 and 137 | 22468 |
| 167 and 146 | 24382 |
| 35 and 133 | 665 |
| 113 and 103 | 11639 |