Least Common Multiple (LCM) of 197 and 58
The least common multiple (LCM) of 197 and 58 is 11426.
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 58?
First, calculate the GCD of 197 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 58 = 3 remainder 23 |
| 2 | 58 ÷ 23 = 2 remainder 12 |
| 3 | 23 ÷ 12 = 1 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 121 | 13794 |
| 14 and 79 | 1106 |
| 32 and 173 | 5536 |
| 129 and 23 | 2967 |
| 153 and 161 | 24633 |