Least Common Multiple (LCM) of 139 and 188
The least common multiple (LCM) of 139 and 188 is 26132.
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 188?
First, calculate the GCD of 139 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 188 = 0 remainder 139 |
| 2 | 188 ÷ 139 = 1 remainder 49 |
| 3 | 139 ÷ 49 = 2 remainder 41 |
| 4 | 49 ÷ 41 = 1 remainder 8 |
| 5 | 41 ÷ 8 = 5 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 194 | 8730 |
| 81 and 125 | 10125 |
| 198 and 183 | 12078 |
| 58 and 28 | 812 |
| 107 and 184 | 19688 |