Least Common Multiple (LCM) of 159 and 177
The least common multiple (LCM) of 159 and 177 is 9381.
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 177?
First, calculate the GCD of 159 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 177 = 0 remainder 159 |
| 2 | 177 ÷ 159 = 1 remainder 18 |
| 3 | 159 ÷ 18 = 8 remainder 15 |
| 4 | 18 ÷ 15 = 1 remainder 3 |
| 5 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 41 | 6150 |
| 191 and 103 | 19673 |
| 180 and 12 | 180 |
| 20 and 179 | 3580 |
| 109 and 23 | 2507 |