Least Common Multiple (LCM) of 155 and 198
The least common multiple (LCM) of 155 and 198 is 30690.
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 198?
First, calculate the GCD of 155 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 198 = 0 remainder 155 |
| 2 | 198 ÷ 155 = 1 remainder 43 |
| 3 | 155 ÷ 43 = 3 remainder 26 |
| 4 | 43 ÷ 26 = 1 remainder 17 |
| 5 | 26 ÷ 17 = 1 remainder 9 |
| 6 | 17 ÷ 9 = 1 remainder 8 |
| 7 | 9 ÷ 8 = 1 remainder 1 |
| 8 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 145 | 8845 |
| 13 and 123 | 1599 |
| 145 and 68 | 9860 |
| 84 and 27 | 756 |
| 20 and 20 | 20 |