Least Common Multiple (LCM) of 159 and 71
The least common multiple (LCM) of 159 and 71 is 11289.
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 71?
First, calculate the GCD of 159 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 71 = 2 remainder 17 |
| 2 | 71 ÷ 17 = 4 remainder 3 |
| 3 | 17 ÷ 3 = 5 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 126 | 9954 |
| 162 and 21 | 1134 |
| 118 and 12 | 708 |
| 87 and 125 | 10875 |
| 127 and 24 | 3048 |