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 |
|---|---|
| 48 and 57 | 912 |
| 13 and 182 | 182 |
| 189 and 153 | 3213 |
| 21 and 176 | 3696 |
| 153 and 36 | 612 |