Least Common Multiple (LCM) of 159 and 176
The least common multiple (LCM) of 159 and 176 is 27984.
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 176?
First, calculate the GCD of 159 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 176 = 0 remainder 159 |
| 2 | 176 ÷ 159 = 1 remainder 17 |
| 3 | 159 ÷ 17 = 9 remainder 6 |
| 4 | 17 ÷ 6 = 2 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 186 | 21018 |
| 55 and 21 | 1155 |
| 153 and 35 | 5355 |
| 13 and 180 | 2340 |
| 60 and 100 | 300 |