Least Common Multiple (LCM) of 159 and 115
The least common multiple (LCM) of 159 and 115 is 18285.
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 115?
First, calculate the GCD of 159 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 115 = 1 remainder 44 |
| 2 | 115 ÷ 44 = 2 remainder 27 |
| 3 | 44 ÷ 27 = 1 remainder 17 |
| 4 | 27 ÷ 17 = 1 remainder 10 |
| 5 | 17 ÷ 10 = 1 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 43 | 2408 |
| 130 and 83 | 10790 |
| 68 and 190 | 6460 |
| 151 and 170 | 25670 |
| 140 and 143 | 20020 |