Least Common Multiple (LCM) of 159 and 185
The least common multiple (LCM) of 159 and 185 is 29415.
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 185?
First, calculate the GCD of 159 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 185 = 0 remainder 159 |
| 2 | 185 ÷ 159 = 1 remainder 26 |
| 3 | 159 ÷ 26 = 6 remainder 3 |
| 4 | 26 ÷ 3 = 8 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 118 | 8260 |
| 120 and 181 | 21720 |
| 194 and 19 | 3686 |
| 12 and 84 | 84 |
| 66 and 169 | 11154 |