Least Common Multiple (LCM) of 159 and 55
The least common multiple (LCM) of 159 and 55 is 8745.
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 55?
First, calculate the GCD of 159 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 55 = 2 remainder 49 |
| 2 | 55 ÷ 49 = 1 remainder 6 |
| 3 | 49 ÷ 6 = 8 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 165 | 26565 |
| 150 and 75 | 150 |
| 66 and 84 | 924 |
| 34 and 125 | 4250 |
| 183 and 77 | 14091 |