Least Common Multiple (LCM) of 197 and 74
The least common multiple (LCM) of 197 and 74 is 14578.
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 74?
First, calculate the GCD of 197 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 74 = 2 remainder 49 |
| 2 | 74 ÷ 49 = 1 remainder 25 |
| 3 | 49 ÷ 25 = 1 remainder 24 |
| 4 | 25 ÷ 24 = 1 remainder 1 |
| 5 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 83 | 16102 |
| 157 and 45 | 7065 |
| 190 and 33 | 6270 |
| 121 and 198 | 2178 |
| 36 and 74 | 1332 |