Least Common Multiple (LCM) of 134 and 145
The least common multiple (LCM) of 134 and 145 is 19430.
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 145?
First, calculate the GCD of 134 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 145 = 0 remainder 134 |
| 2 | 145 ÷ 134 = 1 remainder 11 |
| 3 | 134 ÷ 11 = 12 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 103 | 12051 |
| 137 and 197 | 26989 |
| 85 and 85 | 85 |
| 192 and 69 | 4416 |
| 41 and 189 | 7749 |