Least Common Multiple (LCM) of 107 and 146
The least common multiple (LCM) of 107 and 146 is 15622.
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 107 and 146?
First, calculate the GCD of 107 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 146 = 0 remainder 107 |
| 2 | 146 ÷ 107 = 1 remainder 39 |
| 3 | 107 ÷ 39 = 2 remainder 29 |
| 4 | 39 ÷ 29 = 1 remainder 10 |
| 5 | 29 ÷ 10 = 2 remainder 9 |
| 6 | 10 ÷ 9 = 1 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 110 | 1870 |
| 180 and 10 | 180 |
| 197 and 50 | 9850 |
| 95 and 178 | 16910 |
| 198 and 44 | 396 |