Least Common Multiple (LCM) of 126 and 191
The least common multiple (LCM) of 126 and 191 is 24066.
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 191?
First, calculate the GCD of 126 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 191 = 0 remainder 126 |
| 2 | 191 ÷ 126 = 1 remainder 65 |
| 3 | 126 ÷ 65 = 1 remainder 61 |
| 4 | 65 ÷ 61 = 1 remainder 4 |
| 5 | 61 ÷ 4 = 15 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 45 | 1710 |
| 107 and 133 | 14231 |
| 16 and 55 | 880 |
| 171 and 121 | 20691 |
| 56 and 113 | 6328 |