Least Common Multiple (LCM) of 33 and 197
The least common multiple (LCM) of 33 and 197 is 6501.
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 33 and 197?
First, calculate the GCD of 33 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 197 = 0 remainder 33 |
| 2 | 197 ÷ 33 = 5 remainder 32 |
| 3 | 33 ÷ 32 = 1 remainder 1 |
| 4 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 43 | 8557 |
| 21 and 141 | 987 |
| 68 and 82 | 2788 |
| 20 and 39 | 780 |
| 145 and 88 | 12760 |