Least Common Multiple (LCM) of 126 and 146
The least common multiple (LCM) of 126 and 146 is 9198.
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 126 and 146?
First, calculate the GCD of 126 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 146 = 0 remainder 126 |
| 2 | 146 ÷ 126 = 1 remainder 20 |
| 3 | 126 ÷ 20 = 6 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 71 | 14129 |
| 84 and 108 | 756 |
| 147 and 92 | 13524 |
| 165 and 77 | 1155 |
| 103 and 39 | 4017 |