Least Common Multiple (LCM) of 197 and 172
The least common multiple (LCM) of 197 and 172 is 33884.
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 172?
First, calculate the GCD of 197 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 172 = 1 remainder 25 |
| 2 | 172 ÷ 25 = 6 remainder 22 |
| 3 | 25 ÷ 22 = 1 remainder 3 |
| 4 | 22 ÷ 3 = 7 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 152 | 760 |
| 67 and 67 | 67 |
| 158 and 26 | 2054 |
| 59 and 132 | 7788 |
| 137 and 195 | 26715 |