Least Common Multiple (LCM) of 159 and 186
The least common multiple (LCM) of 159 and 186 is 9858.
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 186?
First, calculate the GCD of 159 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 186 = 0 remainder 159 |
| 2 | 186 ÷ 159 = 1 remainder 27 |
| 3 | 159 ÷ 27 = 5 remainder 24 |
| 4 | 27 ÷ 24 = 1 remainder 3 |
| 5 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 122 | 21594 |
| 145 and 108 | 15660 |
| 197 and 100 | 19700 |
| 142 and 150 | 10650 |
| 107 and 10 | 1070 |