Least Common Multiple (LCM) of 145 and 154
The least common multiple (LCM) of 145 and 154 is 22330.
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 154?
First, calculate the GCD of 145 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 154 = 0 remainder 145 |
| 2 | 154 ÷ 145 = 1 remainder 9 |
| 3 | 145 ÷ 9 = 16 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 195 | 29055 |
| 129 and 142 | 18318 |
| 121 and 58 | 7018 |
| 175 and 171 | 29925 |
| 19 and 39 | 741 |