Least Common Multiple (LCM) of 139 and 193
The least common multiple (LCM) of 139 and 193 is 26827.
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 193?
First, calculate the GCD of 139 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 193 = 0 remainder 139 |
| 2 | 193 ÷ 139 = 1 remainder 54 |
| 3 | 139 ÷ 54 = 2 remainder 31 |
| 4 | 54 ÷ 31 = 1 remainder 23 |
| 5 | 31 ÷ 23 = 1 remainder 8 |
| 6 | 23 ÷ 8 = 2 remainder 7 |
| 7 | 8 ÷ 7 = 1 remainder 1 |
| 8 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 45 | 4230 |
| 108 and 179 | 19332 |
| 78 and 96 | 1248 |
| 78 and 43 | 3354 |
| 38 and 99 | 3762 |