Least Common Multiple (LCM) of 192 and 142
The least common multiple (LCM) of 192 and 142 is 13632.
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 142?
First, calculate the GCD of 192 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 142 = 1 remainder 50 |
| 2 | 142 ÷ 50 = 2 remainder 42 |
| 3 | 50 ÷ 42 = 1 remainder 8 |
| 4 | 42 ÷ 8 = 5 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 82 | 12382 |
| 30 and 13 | 390 |
| 190 and 93 | 17670 |
| 129 and 28 | 3612 |
| 53 and 28 | 1484 |