Least Common Multiple (LCM) of 159 and 145
The least common multiple (LCM) of 159 and 145 is 23055.
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 159 and 145?
First, calculate the GCD of 159 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 145 = 1 remainder 14 |
| 2 | 145 ÷ 14 = 10 remainder 5 |
| 3 | 14 ÷ 5 = 2 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 51 | 2856 |
| 119 and 69 | 8211 |
| 177 and 101 | 17877 |
| 189 and 89 | 16821 |
| 136 and 136 | 136 |