Least Common Multiple (LCM) of 159 and 182
The least common multiple (LCM) of 159 and 182 is 28938.
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 182?
First, calculate the GCD of 159 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 182 = 0 remainder 159 |
| 2 | 182 ÷ 159 = 1 remainder 23 |
| 3 | 159 ÷ 23 = 6 remainder 21 |
| 4 | 23 ÷ 21 = 1 remainder 2 |
| 5 | 21 ÷ 2 = 10 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 61 | 1159 |
| 59 and 84 | 4956 |
| 160 and 65 | 2080 |
| 129 and 75 | 3225 |
| 131 and 56 | 7336 |