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 |
|---|---|
| 108 and 56 | 1512 |
| 152 and 169 | 25688 |
| 65 and 74 | 4810 |
| 189 and 186 | 11718 |
| 163 and 154 | 25102 |