Least Common Multiple (LCM) of 146 and 107
The least common multiple (LCM) of 146 and 107 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 146 and 107?
First, calculate the GCD of 146 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 107 = 1 remainder 39 |
| 2 | 107 ÷ 39 = 2 remainder 29 |
| 3 | 39 ÷ 29 = 1 remainder 10 |
| 4 | 29 ÷ 10 = 2 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 29 | 5800 |
| 99 and 65 | 6435 |
| 172 and 16 | 688 |
| 29 and 81 | 2349 |
| 34 and 15 | 510 |