Least Common Multiple (LCM) of 139 and 146
The least common multiple (LCM) of 139 and 146 is 20294.
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 146?
First, calculate the GCD of 139 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 146 = 0 remainder 139 |
| 2 | 146 ÷ 139 = 1 remainder 7 |
| 3 | 139 ÷ 7 = 19 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 43 | 4902 |
| 115 and 126 | 14490 |
| 73 and 181 | 13213 |
| 58 and 195 | 11310 |
| 46 and 107 | 4922 |