Least Common Multiple (LCM) of 97 and 163
The least common multiple (LCM) of 97 and 163 is 15811.
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 97 and 163?
First, calculate the GCD of 97 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 163 = 0 remainder 97 |
| 2 | 163 ÷ 97 = 1 remainder 66 |
| 3 | 97 ÷ 66 = 1 remainder 31 |
| 4 | 66 ÷ 31 = 2 remainder 4 |
| 5 | 31 ÷ 4 = 7 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 45 | 855 |
| 53 and 11 | 583 |
| 189 and 194 | 36666 |
| 24 and 171 | 1368 |
| 80 and 186 | 7440 |