Least Common Multiple (LCM) of 197 and 154
The least common multiple (LCM) of 197 and 154 is 30338.
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 154?
First, calculate the GCD of 197 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 154 = 1 remainder 43 |
| 2 | 154 ÷ 43 = 3 remainder 25 |
| 3 | 43 ÷ 25 = 1 remainder 18 |
| 4 | 25 ÷ 18 = 1 remainder 7 |
| 5 | 18 ÷ 7 = 2 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 89 | 9612 |
| 180 and 88 | 3960 |
| 184 and 11 | 2024 |
| 93 and 150 | 4650 |
| 75 and 48 | 1200 |