Least Common Multiple (LCM) of 43 and 159
The least common multiple (LCM) of 43 and 159 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 43 and 159?
First, calculate the GCD of 43 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 159 = 0 remainder 43 |
| 2 | 159 ÷ 43 = 3 remainder 30 |
| 3 | 43 ÷ 30 = 1 remainder 13 |
| 4 | 30 ÷ 13 = 2 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 49 | 6223 |
| 37 and 187 | 6919 |
| 145 and 151 | 21895 |
| 10 and 55 | 110 |
| 200 and 143 | 28600 |