Least Common Multiple (LCM) of 139 and 173
The least common multiple (LCM) of 139 and 173 is 24047.
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 173?
First, calculate the GCD of 139 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 173 = 0 remainder 139 |
| 2 | 173 ÷ 139 = 1 remainder 34 |
| 3 | 139 ÷ 34 = 4 remainder 3 |
| 4 | 34 ÷ 3 = 11 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 170 | 6970 |
| 157 and 45 | 7065 |
| 177 and 21 | 1239 |
| 17 and 84 | 1428 |
| 147 and 136 | 19992 |