Least Common Multiple (LCM) of 159 and 35
The least common multiple (LCM) of 159 and 35 is 5565.
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 35?
First, calculate the GCD of 159 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 35 = 4 remainder 19 |
| 2 | 35 ÷ 19 = 1 remainder 16 |
| 3 | 19 ÷ 16 = 1 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 195 | 27105 |
| 184 and 191 | 35144 |
| 159 and 173 | 27507 |
| 125 and 89 | 11125 |
| 111 and 195 | 7215 |