Least Common Multiple (LCM) of 159 and 188
The least common multiple (LCM) of 159 and 188 is 29892.
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 188?
First, calculate the GCD of 159 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 188 = 0 remainder 159 |
| 2 | 188 ÷ 159 = 1 remainder 29 |
| 3 | 159 ÷ 29 = 5 remainder 14 |
| 4 | 29 ÷ 14 = 2 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 61 | 8113 |
| 67 and 83 | 5561 |
| 118 and 164 | 9676 |
| 136 and 39 | 5304 |
| 18 and 39 | 234 |