Least Common Multiple (LCM) of 159 and 68
The least common multiple (LCM) of 159 and 68 is 10812.
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 68?
First, calculate the GCD of 159 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 68 = 2 remainder 23 |
| 2 | 68 ÷ 23 = 2 remainder 22 |
| 3 | 23 ÷ 22 = 1 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 37 | 7141 |
| 191 and 63 | 12033 |
| 36 and 47 | 1692 |
| 140 and 82 | 5740 |
| 44 and 108 | 1188 |