Least Common Multiple (LCM) of 142 and 92
The least common multiple (LCM) of 142 and 92 is 6532.
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 142 and 92?
First, calculate the GCD of 142 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 92 = 1 remainder 50 |
| 2 | 92 ÷ 50 = 1 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 |
|---|---|
| 110 and 169 | 18590 |
| 25 and 115 | 575 |
| 150 and 44 | 3300 |
| 30 and 189 | 1890 |
| 105 and 175 | 525 |