Least Common Multiple (LCM) of 143 and 198
The least common multiple (LCM) of 143 and 198 is 2574.
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 143 and 198?
First, calculate the GCD of 143 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 198 = 0 remainder 143 |
| 2 | 198 ÷ 143 = 1 remainder 55 |
| 3 | 143 ÷ 55 = 2 remainder 33 |
| 4 | 55 ÷ 33 = 1 remainder 22 |
| 5 | 33 ÷ 22 = 1 remainder 11 |
| 6 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 128 | 17536 |
| 77 and 94 | 7238 |
| 112 and 129 | 14448 |
| 59 and 35 | 2065 |
| 166 and 144 | 11952 |