Least Common Multiple (LCM) of 198 and 139
The least common multiple (LCM) of 198 and 139 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 198 and 139?
First, calculate the GCD of 198 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 139 = 1 remainder 59 |
| 2 | 139 ÷ 59 = 2 remainder 21 |
| 3 | 59 ÷ 21 = 2 remainder 17 |
| 4 | 21 ÷ 17 = 1 remainder 4 |
| 5 | 17 ÷ 4 = 4 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 19 | 2869 |
| 149 and 53 | 7897 |
| 23 and 76 | 1748 |
| 31 and 190 | 5890 |
| 133 and 113 | 15029 |