Least Common Multiple (LCM) of 159 and 162
The least common multiple (LCM) of 159 and 162 is 8586.
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 162?
First, calculate the GCD of 159 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 162 = 0 remainder 159 |
| 2 | 162 ÷ 159 = 1 remainder 3 |
| 3 | 159 ÷ 3 = 53 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 61 | 2745 |
| 110 and 199 | 21890 |
| 198 and 87 | 5742 |
| 138 and 14 | 966 |
| 143 and 183 | 26169 |