Least Common Multiple (LCM) of 134 and 126
The least common multiple (LCM) of 134 and 126 is 8442.
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 134 and 126?
First, calculate the GCD of 134 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 126 = 1 remainder 8 |
| 2 | 126 ÷ 8 = 15 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 34 | 2142 |
| 181 and 68 | 12308 |
| 168 and 159 | 8904 |
| 190 and 124 | 11780 |
| 24 and 186 | 744 |