Least Common Multiple (LCM) of 134 and 143
The least common multiple (LCM) of 134 and 143 is 19162.
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 143?
First, calculate the GCD of 134 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 143 = 0 remainder 134 |
| 2 | 143 ÷ 134 = 1 remainder 9 |
| 3 | 134 ÷ 9 = 14 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 106 | 4982 |
| 134 and 42 | 2814 |
| 158 and 128 | 10112 |
| 122 and 96 | 5856 |
| 116 and 110 | 6380 |