Least Common Multiple (LCM) of 139 and 163
The least common multiple (LCM) of 139 and 163 is 22657.
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 163?
First, calculate the GCD of 139 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 163 = 0 remainder 139 |
| 2 | 163 ÷ 139 = 1 remainder 24 |
| 3 | 139 ÷ 24 = 5 remainder 19 |
| 4 | 24 ÷ 19 = 1 remainder 5 |
| 5 | 19 ÷ 5 = 3 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 59 | 11800 |
| 42 and 176 | 3696 |
| 32 and 196 | 1568 |
| 200 and 107 | 21400 |
| 98 and 187 | 18326 |