Least Common Multiple (LCM) of 139 and 161
The least common multiple (LCM) of 139 and 161 is 22379.
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 161?
First, calculate the GCD of 139 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 161 = 0 remainder 139 |
| 2 | 161 ÷ 139 = 1 remainder 22 |
| 3 | 139 ÷ 22 = 6 remainder 7 |
| 4 | 22 ÷ 7 = 3 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 84 | 3444 |
| 58 and 190 | 5510 |
| 162 and 193 | 31266 |
| 119 and 192 | 22848 |
| 109 and 185 | 20165 |