Least Common Multiple (LCM) of 159 and 181
The least common multiple (LCM) of 159 and 181 is 28779.
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 181?
First, calculate the GCD of 159 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 181 = 0 remainder 159 |
| 2 | 181 ÷ 159 = 1 remainder 22 |
| 3 | 159 ÷ 22 = 7 remainder 5 |
| 4 | 22 ÷ 5 = 4 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 136 | 2040 |
| 102 and 103 | 10506 |
| 183 and 47 | 8601 |
| 36 and 23 | 828 |
| 105 and 75 | 525 |