Least Common Multiple (LCM) of 159 and 37
The least common multiple (LCM) of 159 and 37 is 5883.
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 37?
First, calculate the GCD of 159 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 37 = 4 remainder 11 |
| 2 | 37 ÷ 11 = 3 remainder 4 |
| 3 | 11 ÷ 4 = 2 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 191 | 13179 |
| 100 and 73 | 7300 |
| 194 and 28 | 2716 |
| 143 and 69 | 9867 |
| 13 and 199 | 2587 |