Least Common Multiple (LCM) of 192 and 126
The least common multiple (LCM) of 192 and 126 is 4032.
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 192 and 126?
First, calculate the GCD of 192 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 126 = 1 remainder 66 |
| 2 | 126 ÷ 66 = 1 remainder 60 |
| 3 | 66 ÷ 60 = 1 remainder 6 |
| 4 | 60 ÷ 6 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 17 | 2975 |
| 85 and 84 | 7140 |
| 90 and 174 | 2610 |
| 88 and 83 | 7304 |
| 57 and 95 | 285 |