Least Common Multiple (LCM) of 159 and 65
The least common multiple (LCM) of 159 and 65 is 10335.
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 65?
First, calculate the GCD of 159 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 65 = 2 remainder 29 |
| 2 | 65 ÷ 29 = 2 remainder 7 |
| 3 | 29 ÷ 7 = 4 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 171 | 20691 |
| 105 and 121 | 12705 |
| 121 and 128 | 15488 |
| 190 and 191 | 36290 |
| 141 and 135 | 6345 |