Least Common Multiple (LCM) of 197 and 46
The least common multiple (LCM) of 197 and 46 is 9062.
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 46?
First, calculate the GCD of 197 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 46 = 4 remainder 13 |
| 2 | 46 ÷ 13 = 3 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 67 | 11725 |
| 38 and 133 | 266 |
| 71 and 26 | 1846 |
| 122 and 174 | 10614 |
| 54 and 147 | 2646 |