Least Common Multiple (LCM) of 134 and 142
The least common multiple (LCM) of 134 and 142 is 9514.
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 134 and 142?
First, calculate the GCD of 134 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 142 = 0 remainder 134 |
| 2 | 142 ÷ 134 = 1 remainder 8 |
| 3 | 134 ÷ 8 = 16 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 42 | 7266 |
| 54 and 129 | 2322 |
| 152 and 17 | 2584 |
| 115 and 95 | 2185 |
| 144 and 10 | 720 |