Least Common Multiple (LCM) of 159 and 194
The least common multiple (LCM) of 159 and 194 is 30846.
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 194?
First, calculate the GCD of 159 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 194 = 0 remainder 159 |
| 2 | 194 ÷ 159 = 1 remainder 35 |
| 3 | 159 ÷ 35 = 4 remainder 19 |
| 4 | 35 ÷ 19 = 1 remainder 16 |
| 5 | 19 ÷ 16 = 1 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 152 | 2584 |
| 143 and 72 | 10296 |
| 120 and 89 | 10680 |
| 172 and 157 | 27004 |
| 55 and 185 | 2035 |