Least Common Multiple (LCM) of 139 and 190
The least common multiple (LCM) of 139 and 190 is 26410.
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 190?
First, calculate the GCD of 139 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 190 = 0 remainder 139 |
| 2 | 190 ÷ 139 = 1 remainder 51 |
| 3 | 139 ÷ 51 = 2 remainder 37 |
| 4 | 51 ÷ 37 = 1 remainder 14 |
| 5 | 37 ÷ 14 = 2 remainder 9 |
| 6 | 14 ÷ 9 = 1 remainder 5 |
| 7 | 9 ÷ 5 = 1 remainder 4 |
| 8 | 5 ÷ 4 = 1 remainder 1 |
| 9 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 188 | 34028 |
| 135 and 80 | 2160 |
| 90 and 25 | 450 |
| 45 and 158 | 7110 |
| 21 and 43 | 903 |