Least Common Multiple (LCM) of 198 and 143
The least common multiple (LCM) of 198 and 143 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 198 and 143?
First, calculate the GCD of 198 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 143 = 1 remainder 55 |
| 2 | 143 ÷ 55 = 2 remainder 33 |
| 3 | 55 ÷ 33 = 1 remainder 22 |
| 4 | 33 ÷ 22 = 1 remainder 11 |
| 5 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 75 | 14100 |
| 136 and 23 | 3128 |
| 107 and 114 | 12198 |
| 61 and 34 | 2074 |
| 97 and 152 | 14744 |