Least Common Multiple (LCM) of 139 and 198
The least common multiple (LCM) of 139 and 198 is 27522.
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 139 and 198?
First, calculate the GCD of 139 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 198 = 0 remainder 139 |
| 2 | 198 ÷ 139 = 1 remainder 59 |
| 3 | 139 ÷ 59 = 2 remainder 21 |
| 4 | 59 ÷ 21 = 2 remainder 17 |
| 5 | 21 ÷ 17 = 1 remainder 4 |
| 6 | 17 ÷ 4 = 4 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 21 | 966 |
| 177 and 181 | 32037 |
| 121 and 86 | 10406 |
| 151 and 182 | 27482 |
| 72 and 62 | 2232 |