Least Common Multiple (LCM) of 145 and 134
The least common multiple (LCM) of 145 and 134 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 145 and 134?
First, calculate the GCD of 145 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 134 = 1 remainder 11 |
| 2 | 134 ÷ 11 = 12 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 73 | 12337 |
| 46 and 138 | 138 |
| 159 and 146 | 23214 |
| 45 and 50 | 450 |
| 71 and 103 | 7313 |