Least Common Multiple (LCM) of 139 and 71
The least common multiple (LCM) of 139 and 71 is 9869.
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 71?
First, calculate the GCD of 139 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 71 = 1 remainder 68 |
| 2 | 71 ÷ 68 = 1 remainder 3 |
| 3 | 68 ÷ 3 = 22 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 135 | 3375 |
| 112 and 183 | 20496 |
| 121 and 150 | 18150 |
| 167 and 174 | 29058 |
| 16 and 69 | 1104 |