Least Common Multiple (LCM) of 139 and 171
The least common multiple (LCM) of 139 and 171 is 23769.
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 171?
First, calculate the GCD of 139 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 171 = 0 remainder 139 |
| 2 | 171 ÷ 139 = 1 remainder 32 |
| 3 | 139 ÷ 32 = 4 remainder 11 |
| 4 | 32 ÷ 11 = 2 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 34 | 204 |
| 145 and 168 | 24360 |
| 46 and 106 | 2438 |
| 165 and 119 | 19635 |
| 105 and 63 | 315 |