Least Common Multiple (LCM) of 161 and 159
The least common multiple (LCM) of 161 and 159 is 25599.
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 161 and 159?
First, calculate the GCD of 161 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 159 = 1 remainder 2 |
| 2 | 159 ÷ 2 = 79 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 45 | 765 |
| 14 and 84 | 84 |
| 154 and 23 | 3542 |
| 167 and 55 | 9185 |
| 190 and 22 | 2090 |