Least Common Multiple (LCM) of 126 and 133
The least common multiple (LCM) of 126 and 133 is 2394.
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 133?
First, calculate the GCD of 126 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 133 = 0 remainder 126 |
| 2 | 133 ÷ 126 = 1 remainder 7 |
| 3 | 126 ÷ 7 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 163 | 18419 |
| 77 and 55 | 385 |
| 66 and 172 | 5676 |
| 194 and 62 | 6014 |
| 183 and 78 | 4758 |