Least Common Multiple (LCM) of 159 and 167
The least common multiple (LCM) of 159 and 167 is 26553.
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 167?
First, calculate the GCD of 159 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 167 = 0 remainder 159 |
| 2 | 167 ÷ 159 = 1 remainder 8 |
| 3 | 159 ÷ 8 = 19 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 14 | 826 |
| 18 and 171 | 342 |
| 129 and 135 | 5805 |
| 150 and 152 | 11400 |
| 71 and 172 | 12212 |