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 |
|---|---|
| 148 and 114 | 8436 |
| 123 and 17 | 2091 |
| 99 and 16 | 1584 |
| 163 and 19 | 3097 |
| 171 and 50 | 8550 |