Least Common Multiple (LCM) of 197 and 33
The least common multiple (LCM) of 197 and 33 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 197 and 33?
First, calculate the GCD of 197 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 33 = 5 remainder 32 |
| 2 | 33 ÷ 32 = 1 remainder 1 |
| 3 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 66 | 1254 |
| 55 and 129 | 7095 |
| 65 and 124 | 8060 |
| 113 and 108 | 12204 |
| 169 and 69 | 11661 |