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 |
|---|---|
| 192 and 106 | 10176 |
| 106 and 67 | 7102 |
| 49 and 98 | 98 |
| 58 and 195 | 11310 |
| 142 and 160 | 11360 |