Least Common Multiple (LCM) of 139 and 89
The least common multiple (LCM) of 139 and 89 is 12371.
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 89?
First, calculate the GCD of 139 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 89 = 1 remainder 50 |
| 2 | 89 ÷ 50 = 1 remainder 39 |
| 3 | 50 ÷ 39 = 1 remainder 11 |
| 4 | 39 ÷ 11 = 3 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 133 | 8911 |
| 177 and 132 | 7788 |
| 117 and 165 | 6435 |
| 90 and 124 | 5580 |
| 109 and 20 | 2180 |