Least Common Multiple (LCM) of 155 and 197
The least common multiple (LCM) of 155 and 197 is 30535.
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 155 and 197?
First, calculate the GCD of 155 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 197 = 0 remainder 155 |
| 2 | 197 ÷ 155 = 1 remainder 42 |
| 3 | 155 ÷ 42 = 3 remainder 29 |
| 4 | 42 ÷ 29 = 1 remainder 13 |
| 5 | 29 ÷ 13 = 2 remainder 3 |
| 6 | 13 ÷ 3 = 4 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 142 | 25986 |
| 34 and 111 | 3774 |
| 164 and 90 | 7380 |
| 133 and 36 | 4788 |
| 53 and 135 | 7155 |