Least Common Multiple (LCM) of 159 and 164
The least common multiple (LCM) of 159 and 164 is 26076.
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 164?
First, calculate the GCD of 159 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 164 = 0 remainder 159 |
| 2 | 164 ÷ 159 = 1 remainder 5 |
| 3 | 159 ÷ 5 = 31 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 163 | 18256 |
| 101 and 116 | 11716 |
| 46 and 22 | 506 |
| 131 and 130 | 17030 |
| 52 and 17 | 884 |