Least Common Multiple (LCM) of 197 and 133
The least common multiple (LCM) of 197 and 133 is 26201.
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 133?
First, calculate the GCD of 197 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 133 = 1 remainder 64 |
| 2 | 133 ÷ 64 = 2 remainder 5 |
| 3 | 64 ÷ 5 = 12 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 96 | 5088 |
| 172 and 185 | 31820 |
| 157 and 182 | 28574 |
| 126 and 30 | 630 |
| 102 and 93 | 3162 |