Least Common Multiple (LCM) of 159 and 43
The least common multiple (LCM) of 159 and 43 is 6837.
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 43?
First, calculate the GCD of 159 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 43 = 3 remainder 30 |
| 2 | 43 ÷ 30 = 1 remainder 13 |
| 3 | 30 ÷ 13 = 2 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 158 | 5688 |
| 38 and 141 | 5358 |
| 34 and 151 | 5134 |
| 72 and 182 | 6552 |
| 144 and 156 | 1872 |